Question

4) The sum of two roots
two roots quadratic
equation is 5 and sum
of
their cubes is
35, find the equation,​

Answer 1

Answer: x²-5x+6

Step-by-step explanation:

Suppose the roots are @ and B

(@+B)³ = @³+B³+3@B(@+B)

5³- 3@B(5) = 35

125 - 3@B(5) = 35

3@B = 18 thus c/a = 6

and given that @+B = 5 = -b/a

thus, a= 1 b= -5 c = 6

x²-5x+6 = 0 (the equation is...)

Hope it helps...