SOLUTION: xsquared-8x=33

Question 305982: xsquared-8x=33
Found 2 solutions by JBarnum, texttutoring:
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: SOLVE quadratic equation with variable

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=196 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 11, -3. Here's your graph:

Answer by texttutoring(324) (Show Source): You can put this solution on YOUR website!
x^2 - 8x = 33

First, set one side equal to zero by subtracting 33 from both sides:
x^2 -8x - 33 = 0

Now, factor. Look for two numbers that multiply to -33 but add up to -8. These numbers are -11 and 3.

x^2 -8x - 33 = 0
(x-11)(x+3)=0

So, either x=11 or x=-3.
RELATED QUESTIONS
xsquared-8x-9=0 (answered by stanbon)
xsquared-8x+16 (answered by Fombitz)
xsquared - 8x +... (answered by lynnlo)
xsquared+8x-20=0 (answered by Solver92311)
Solve equation. Xsquared-8x=-15 (answered by Joker)
simplify... (answered by funmath)
Determine the vertex of... (answered by jim_thompson5910,stanbon)
find all real solutions of the following equations by using the quadratic formula. 1. (answered by mangeshpjoshi)
xsquared=-8y (answered by edjones)