SOLUTION: The problem asks to solve by whatever method seems easiest to you. I have tried so many methods and can't seem to figure these two out. (a) x^2+8x=-16 (b) 3x^2=2x+5 Thank you fo

Question 320286: The problem asks to solve by whatever method seems easiest to you. I have tried so many methods and can't seem to figure these two out. (a) x^2+8x=-16 (b) 3x^2=2x+5
Thank you for your time =)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
(a) x^2+8x=-16 (b) 3x^2=2x+5
----------------------
x^2+8x+16 = 0
3x^2- 2x -5 = 0
3x^2+24x+48 = 0
---------------- Subtract
-26x - 53 = 0
x = -53/26
------------- That's not right
x^2 + 8x + 16 = 0
4x^2- 8x - 20 = 0
-------------------Add
5x^2 = 4
x = � 2sqrt(5)/5
------------- That's not right either
x^2+8x+16 = 3x^2- 2x -5
2x^2 - 10x - 21 = 0

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=268 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 6.59267638593623, -1.59267638593623. Here's your graph:

------------------
That's right.

RELATED QUESTIONS
Can I get help please! It asks to solve by whatever method seems easiest to you. Leave... (answered by 067isa,ijeoma,solver91311)

I need help! For this particular question it asks: Solve by whatever method seems easiest (answered by benni1013)

Please solve by whatever method seems easiest to you.leave answers in simplest radical... (answered by Fombitz)

Pleas solve by whatever method seems easiest to you.leave answers in simplest radical... (answered by Fombitz)

Solve for L: S=2WL+2WH+2LH Can you please explain the steps in the easiest way... (answered by Alan3354)

Solve by whatever method seems easiest, quadratic, factoring, property of square, of... (answered by scott8148)

I don't understand this particular question. It says to solve by the method that's... (answered by jim_thompson5910)

5z squared plus 5z plus 5 divided by 7z squared plus 7z plus 7. My name is Rachel and I (answered by jim_thompson5910)