SOLUTION: -3x^2+7x=-5 solve the quadratic equation by completing square

Question 124685: -3x^2+7x=-5 solve the quadratic equation by completing square
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: COMPLETING THE SQUARE solver for quadratics

Read this lesson on completing the square by prince_abubu, if you do not know how to complete the square.
Let's convert to standard form by dividing both sides by -3:
We have: . What we want to do now is to change this equation to a complete square . How can we find out values of somenumber and othernumber that would make it work?
Look at : . Since the coefficient in our equation that goes in front of x is -2.33333333333333, we know that -2.33333333333333=2*somenumber, or . So, we know that our equation can be rewritten as , and we do not yet know the other number.
We are almost there. Finding the other number is simply a matter of not making too many mistakes. We need to find 'other number' such that is equivalent to our original equation .

The highlighted red part must be equal to -1.66666666666667 (highlighted green part).

, or .
So, the equation converts to , or .

Our equation converted to a square , equated to a number (3.02777777777778).

Since the right part 3.02777777777778 is greater than zero, there are two solutions:

, or

Answer: x=2.90671775148509, -0.573384418151758.

RELATED QUESTIONS
can you show me step by step on how Solve the quadratic equation by completing the square (answered by josgarithmetic,lwsshak3)

Please help me solve this quadratic equation in a step-by-step manner by completing the... (answered by nerdybill,Theo)

Solve the quadratic equation by completing the square:... (answered by jim_thompson5910)

-3x^2+7x=-5 solve by completing the square. then write in vertex... (answered by MathLover1)

Solve by completing the square : -7x = 5 - x^2 (answered by ankor@dixie-net.com)

Solve the following quadratic equation by completing the square. 2x^2- 8x +5 = 0 (answered by stanbon)

Solve the quadratic equation by completing the square.... (answered by KMST)

solve quadratic equation by completing the square -x^2-2x=5 (answered by mathstutor494)

Solve the quadratic function by completing the square.... (answered by edjones)