Question

2.) Consider the quadratic equation 6x^2+11x-10=0

A.) solve it by using zero product property

Answer 1

Explanation:

Roots Theorem

`6 {x}^(2) + 11x - 10 = 0`

Use the AC method,

The roots must multiply to -60 and add up to 11.

Those two numbers are 15 and -4

So we have know

`6 {x}^(2) + 15x - 4x - 10 = 0`

`3x(2x + 5) - 2(2x + 5)`

`(3x - 2)(2x + 5) = 0`

Set each binomial equal to zero

`3x - 2 = 0`

`3x = 2`

`x = (2)/(3)`

`2x + 5 = 0`

`2x = - 5`

`x = - (5)/(2)`