Maths-

General

Easy

Question

# (x - 3)^{4} = 0. What value of x makes the given equation true?

## The correct answer is: 3

### 0 raised to any power is 0

Step-by-step solution:-

We simplify the given equation as-

(x - 3)^{4} = 0

∴ x - 3 = 0

∴ x = 3

Final Answer:-

∴ For the given equation to be true, value of x should be 3 units.

### Related Questions to study

Maths-

### The expressions x^{2} + bx + 10 and (x - 3)^{2} + c, where b and c are constants, are equivalent. What is the value of

b + c?

### The expressions x^{2} + bx + 10 and (x - 3)^{2} + c, where b and c are constants, are equivalent. What is the value of

b + c?

Maths-General

Maths-

### In the given equation, k is a constant. If the equation has no solution, what is the value of k?

### In the given equation, k is a constant. If the equation has no solution, what is the value of k?

Maths-General

Maths-

### In the given equation, a & b are positive constants and a ≠ b How many distinct x-intercepts does the graph of the equation in the xy-plane have?

Y = bx(x - a)(x - a)(x + b)(x - b)

### In the given equation, a & b are positive constants and a ≠ b How many distinct x-intercepts does the graph of the equation in the xy-plane have?

Y = bx(x - a)(x - a)(x + b)(x - b)

Maths-General

Maths-

### The function f is defined for all real numbers, and the graph of y = f (x) in the xy-plane is a line with a negative slope. Which of the following must be true?

I. If a < b, then f(a) > f (b).

II. If a < 0, then f (a) > 0.

III. If a > 0, then f (a) < 0.

### The function f is defined for all real numbers, and the graph of y = f (x) in the xy-plane is a line with a negative slope. Which of the following must be true?

I. If a < b, then f(a) > f (b).

II. If a < 0, then f (a) > 0.

III. If a > 0, then f (a) < 0.

Maths-General

Maths-

### In the quadratic equation shown, b is constant. For what values of b does the equation have only 1 solution?

### In the quadratic equation shown, b is constant. For what values of b does the equation have only 1 solution?

Maths-General

Maths-

### Minato drove 390 miles. Part of the drive was along local roads, where his average speed was 20 miles per hour and the rest was along a highway, where his average speed was 60 miles per hour. The drive took 8 hours. What distance, in miles, did Minato drive along local roads?

### Minato drove 390 miles. Part of the drive was along local roads, where his average speed was 20 miles per hour and the rest was along a highway, where his average speed was 60 miles per hour. The drive took 8 hours. What distance, in miles, did Minato drive along local roads?

Maths-General

Maths-

### The two-way table categorizes the change in value in July and August for 50 stocks. If one of the stocks that increased in value in August is chosen at random, what is the probability that the stock also increased in value in July?

### The two-way table categorizes the change in value in July and August for 50 stocks. If one of the stocks that increased in value in August is chosen at random, what is the probability that the stock also increased in value in July?

Maths-General

Maths-

### In the given figure, θ is an angle. If , what is cos θ?

### In the given figure, θ is an angle. If , what is cos θ?

Maths-General

Maths-

### The function W gives the estimated weight W (L), in pounds, of a rainbow trout based on its Length L, in inches. Which of the following is the best interpretation of the number 1.22 in this context?

W (L) = 0.04 (1.22)^{L}

### The function W gives the estimated weight W (L), in pounds, of a rainbow trout based on its Length L, in inches. Which of the following is the best interpretation of the number 1.22 in this context?

W (L) = 0.04 (1.22)^{LMaths-General}

Maths-

### An equation of the graph shown is ax + by = 6, where a & b are constants. What is the value of b?

### An equation of the graph shown is ax + by = 6, where a & b are constants. What is the value of b?

Maths-General

Maths-

### A set of data is represented by the scatter point in the portion of the xy-plane shown. Which of the following linear equations best fits the data?

### A set of data is represented by the scatter point in the portion of the xy-plane shown. Which of the following linear equations best fits the data?

Maths-General

Maths-

### The function h is defined as shown. For what value of x does the function h reach its minimum value?

h(x) = (x - 5) (x + 5)

### The function h is defined as shown. For what value of x does the function h reach its minimum value?

h(x) = (x - 5) (x + 5)

Maths-General

Maths-

### A sports store had 60 backpacks in store, some with wheels and some without wheels, before a new shipment of backpacks arrived The number of wheeled backpacks in the new shipment was twice the number of wheeled backpacks already in stock, and the number of backpacks without wheels in the new shipment was 5 times the number of backpacks without wheels already in stock. After the new shipment arrived, there were 330 backpacks in the store. Before the shipment there were x wheeled backpacks and y backpacks without wheels. Which of the following equations can be used with x + y = 60 to solve for x & y?

### A sports store had 60 backpacks in store, some with wheels and some without wheels, before a new shipment of backpacks arrived The number of wheeled backpacks in the new shipment was twice the number of wheeled backpacks already in stock, and the number of backpacks without wheels in the new shipment was 5 times the number of backpacks without wheels already in stock. After the new shipment arrived, there were 330 backpacks in the store. Before the shipment there were x wheeled backpacks and y backpacks without wheels. Which of the following equations can be used with x + y = 60 to solve for x & y?

Maths-General

Maths-

### The given graph shows the distribution of number of years of experience for 25 teachers enrolled in an advanced degree program at a particular university. If a 26th teacher with 2 years of experience is added to the program and to the data set, what will be the effect on the mean and median of the data set?

### The given graph shows the distribution of number of years of experience for 25 teachers enrolled in an advanced degree program at a particular university. If a 26th teacher with 2 years of experience is added to the program and to the data set, what will be the effect on the mean and median of the data set?

Maths-General

Maths-