Question

Jester 2

Which values of c will cause the quadratic equation -2 + 3x + c = 0 to have no real number solutions? Check all that
apply.

Answer 1

`c < (9)/(8)`

For all c less than
`(9)/(8)` ,the given quadratic equation has no real number solutions.

Explanation:

Given

Quadratic Equation

`-2x^(2) + 3x + c = 0`

On comparing with general form of Quadratic Equation

`Ax^(2)+ Bx + C = 0`

we have,

`A=-2\\B=3\\C=c\\`

For no real number solution we must have

`Discriminant, B^(2)- 4AC < 0\\(3)^(2) - 4* -2* c < 0\\9-8c < 0\\-8c < -9\\c < (9)/(8)`

So, For all c less than
`(9)/(8)` ,the given quadratic equation has no real number solutions.