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Mathematics

Grade10

Easy

Question

Find the number of solutions for the equation $x to the power of 2 end exponent minus 12 x plus 11 equals 0$ .

0
1
2
Either 1 or 2

hint 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: 2

Step 1 of 1:
We have given an equation $x to the power of 2 end exponent minus 12 x plus 11 equals 0$ .
Now,
$b to the power of 2 end exponent minus 4 a c equals open parentheses negative 12 close parentheses to the power of 2 end exponent minus 4 blank cross times blank 1 blank cross times blank 11$
$equals 144 minus 44$
$equals 100 greater than 0$ , so, it has two real solutions

The discriminant is the part of the quadratic formula found within the square root.

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