SOLUTION: Can you please help me this exponental problem: x^2=6x-8? Thank you!

Question 67424: Can you please help me this exponental problem: x^2=6x-8? Thank you!
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Can you please help me this exponental problem: x^2=6x-8? Thank you!
x^2=6x-8
Now this is a quadratic equation and we first need to get it into standard form(Ax^2+Bx+C=0)

Subtract 6x from and add 8 to both sides of the equation:
x^2-6x+8=6x-6x-8+8 Collect like terms and we have:
x^2-6x+8=0-------------standard form where A=1, B=-6, C=8
x^2-6x+8=0 has factors (x-4)(x-2) How do I know this??? If the A coefficient of a quadratic is 1, then the B coefficient is the sum of the factors of the C coefficient, if it is factorable and the factors of 8 that work for this problem are (-4)(-2).

We now have:
x^2-6x+8=0
(x-4)(x-2)=0
x=4
x=2

Hope this helps----ptaylor

RELATED QUESTIONS
{{{x^2+6x+8=0 }}} Can you help me solve this please? and Thank you... (answered by josmiceli)

HELLO! Can you please help me solve this problem? (8/x)-(3/x)=(6/x-1) Thank... (answered by drk)

A pleasant day! I have a hard time solving this problem, can you please help me? If... (answered by solver91311)

please help me solve this problem: (x+8)(x-2)<0 Thank... (answered by praseenakos@yahoo.com)

Can someone please help me solve this problem: f(x)=x^2+30 Thank... (answered by Alan3354)

Can someone please help me solve this problem: Y(2)=x-3 Thank... (answered by Alan3354)

Can someone please help me with this problem...x^2+2x + 3 Thank... (answered by edjones)

This is Graphing Linear Equations. Can you please help me solve this problem? x+2y=-8. (answered by checkley71)

Can you please help me with this problem Solve using the square root property (x + (answered by stanbon)