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Mathematics

Grade10

Easy

Question

How many solutions are there for the equation $x to the power of 2 end exponent plus 5 x plus 2 equals 0$ using the discriminant?

0
1
2
3

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 a quadratic equation $x to the power of 2 end exponent plus 5 x plus 2 equals 0$
$b to the power of 2 end exponent minus 4 a c equals open parentheses 5 close parentheses to the power of 2 end exponent minus 4 cross times 1 cross times 2$
$equals 25 minus 8$
$equals 17 greater than 0$
The discriminant is greater than zero, so it has two real solutions.

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

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