Mathematics
Grade10
Easy
Question
How many solutions are there for the equation
using the discriminant?
- 0
- 1
- 2
- Either 1 or 2.
Hint:
Any equation of the form p (x) = 0, where p (x) is a polynomial of degree 2, is a quadratic equation
The correct answer is: 1
Step 1 of 1:
We have given a quadratic equation
![b to the power of 2 end exponent minus 4 a c equals 2 to the power of 2 end exponent minus 4 cross times 1 cross times 1](data:image/png;base64,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)
= 0
The discriminant value is equal to zero, so it has one real solution.
The discriminant is the part of the quadratic formula found within the square root.