# Find the discriminant value for x^2-4x-32 = 0. What does this indicate?

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### 2 Answers

For a quadratic equation ax^2 + bx + c = 0, the value of the discriminant is D = b^2 - 4*a*c.

If D > 0 the equation has two distinct real roots. If D = 0, the equation has a common real root and if D < 0 the solution of the equation is complex.

For x^2 - 4x - 32 = 0

D = (-4)^2 - (4*1*-32) = 144

**As the discriminant is greater than 0, the equation has 2 distinct real roots.**

`x^2-4x-32 = 0` to find the discriminant you need to use the formula -b^2-4ac

`a=1` ` b=-4 ` `c=-32`

`4^2-4(1)(-32)`

`16+128 = 144`

since the discriminant is bigger than 0 it indicates that the problem has 2 real solutions