SOLUTION: Solve the following using the square root method or the quadratic equation. 66x^2 -31x -9 + 0 Not understanding this can you help Please!! Thanks

Question 87266: Solve the following using the square root method or the quadratic equation.
66x^2 -31x -9 + 0
Not understanding this can you help Please!!
Thanks
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Starting with the general quadratic

the general form of the quadratic equation is:

So lets solve

Plug in a=66, b=-31, and c=-9

Square -31 to get 961

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root

Multiply 2 and 66 to get 132

So now the expression breaks down into two parts

or

Which approximate to

or

So our solutions are:
or

Notice when we graph we get:

when we use the root finder feature on a calculator, we find that and .So this verifies our answer
RELATED QUESTIONS
Solve using the square root method or quadratic formula. 20x^2 - 31x-9 =0 I cant figure (answered by Earlsdon)

66x^2 + 67x + 10 =0 Solve followig the square root method or the quadratic formula.... (answered by checkley75,rapaljer,stanbon)

Could you please help me solve this quadratic equation using completing the square... (answered by Alan3354)

Could you please help solve this quadratic equation using completing the square method? (answered by lwsshak3,josgarithmetic,josmiceli)

How do you solve this radical equation using the square root method : 40x^2 - 140 =... (answered by Alan3354)

Solve the following by either factoring, square root method, or quadratic formula. For... (answered by greenestamps)

Solve the quadratic equation using square root method. Show all steps... (answered by Alan3354)

Solve the quadratic equation using square root method. X^2-25=25 (answered by Alan3354)

solve the quadratic equation by using the COMPLETING THE SQUARE method and applying the... (answered by ankor@dixie-net.com)