SOLUTION: solve the equation 30x^2+11x-30=0

Question 340564: solve the equation 30x^2+11x-30=0

Answer by J2R2R(94) (Show Source): You can put this solution on YOUR website!
30x^2 + 11x - 30 = 0

Here we have to make +30 and -30 into factors so that juggling cross products will give a sum of 11.

5 and 6 are the two most likely answers as when added up give 11 which is the difference of the two squares (36 - 25).

This we need (6x with 5) and (5x with 6) so that we have 30x^2 and -30. The -30 tells us there is a minus and so the sum (11) can be treated as a difference.

(6x with 5)(5x with 6) = 30x^2 + (36 with 25)x + (5 with 6)

(6x - 5)(5x + 6) = 30x^2 + (36 - 25)x + (-5 times 6) = 30x^2 + 11x - 30 = 0

6x - 5 = 0 and 5x + 6 = 0

Giving x = 5/6 and -1.2
RELATED QUESTIONS
Please help me solve the following equation: 30x^2 + 11x - 30 =... (answered by Fombitz)

30x^2+11x-30=0 (answered by nihon64)

solve the equation?... (answered by nerdybill)

Solve: 30x^2+11x-30=0 I'm lost!! Can you help me? Thank... (answered by stanbon)

Solve for x in the equation x2 - 11x + 30 =... (answered by Alan3354)

Solve the equation: x^2+11x+18=0 by... (answered by askmemath)

Use the quadratic equation to solve the quadratic equation.... (answered by ankor@dixie-net.com)

I need help on this problem. Solve the equation. 5x^2 - 30x + 40 =... (answered by hamda)

Solve the equation by factoring. 25x squared + 30x + 8 = 0 (answered by Boreal,ikleyn,greenestamps)