SOLUTION: 7x^2+58x=16

Question 101320: 7x^2+58x=16
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Subtract 16 from both sides

Solved by pluggable solver: Quadratic Formula

Let's use the quadratic formula to solve for x:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=7, b=58, and c=-16

Square 58 to get 3364

Multiply to get

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

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and 7 to get 14

So now the expression breaks down into two parts

or

Now break up the fraction

or

Simplify

or

So the solutions are:

or

RELATED QUESTIONS
Factor completely: 7x^2 + 58x + 16 (answered by scott8148,jim_thompson5910)

20x^3-37x^2-58x-16 /... (answered by Fombitz)

Find the area of a rectangle with a width of 3x-4 and a length of 7x+3. This is what I (answered by Cromlix)

I'm stuck on the Factoring section of the current unit I'm in for College Algebra. I... (answered by checkley77)

2(7x-3)<12x+16 (answered by tutor_paul)

4x-16 over 2 = 7x+2 (answered by Fombitz)

C(x)=0.1x^2-58x+26369 (answered by Alan3354)

wat is:... (answered by music974)

Someone please help me with this. Determine the values of the variable for which the... (answered by KMST)