Question

Solve the quadratic equation for x. What is the largest solution to the equation? 5x2 + 30x + 25 = 0 A) x = 5 B) x = 1 C) x = ?1 D) x = ?5

Answer 1

x= -1 (looks like C)

Explanation:

To solve for x, factor the quadratic. Begin by factoring out a GCF of 5.

`5x^2+30x+25 = 5(x^2+6x+5)`

To factor the remaining parts of the quadratic, look for two factors of 5 which add to 6. This would be 1 and 5.

So the quadratic factored is:

`5(x^2+6x+5) = 5(x+1)(x+5)`

To solve for x, set each factor equal to 0 and solve.

x+1 = 0

x = -1

x+5 = 0

x=-5

-1 is the largest solution.