Find the solutions of the equation, and find the sum and the product of the roots:

Question

Find the solutions of the equation, and find the sum and the product of the roots:

4x^2-12x+15=0

Answer 1

4x^2 -12x +15 This does not factor so will need to use the quadratic formula

(12)8. +/- sqroot( 144- 4x4x15)/8

1.5 +/- (sqroot 144-240) = sqroot (-96)

the sqroot of (sqroot-98)/8 can be rewritten as sqroot (i)(16)(6)/8= I Sqroot 6/2

so solutions are 1.5 +/- i (sqroot6)/2

I will leave it to you to add and multiply these

Answer 2

When we have a quadratic equation in this form, ax² + bx + c = 0 , the sum of the roots = -b/a and the product is c/a.

Use quadratic formula to find the 2 complex conjugate roots.