Question

Which of the following is the value of discriminant for √ 2x² − 5x+ √ 2 0?-517√2​2 √2 −5

Answer 1

The discriminant of a quadratic equation ax² + bx + c = 0 is given by the formula:

b² - 4ac

Given the equation √ 2x² − 5x + √ 2 = 0, we can find the discriminant by substituting the values of a, b, and c into the formula:

b² - 4ac = (-5)² - 4(√2)(√2) = 25 - 8 = 17

So, the discriminant of the equation √ 2x² − 5x + √ 2 = 0 is 17

Explanation:

Answer 2

The discriminant of the quadratic equation ax² + bx + c = 0 is b² - 4ac.

The equation is √ 2x² − 5x+ √ 2 = 0

So the value of a, b, c are 2, -5, √2 respectively

Therefore, the discriminant is (-5)² - 4(2)(√2) = 25 - 8√2

So, The discriminant for √ 2x² − 5x+ √ 2 = 0 is -8√2