SOLUTION: Solve by any method. a) {{{(x-10)(x-4)=-5}}} b) {{{x^2-4x=1}}} I appreciate the help, thank you!

Algebra ->  Expressions-with-variables -> SOLUTION: Solve by any method. a) {{{(x-10)(x-4)=-5}}} b) {{{x^2-4x=1}}} I appreciate the help, thank you!      Log On


   

Question 300876: Solve by any method.
a) %28x-10%29%28x-4%29=-5
b) x%5E2-4x=1
I appreciate the help, thank you!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-10%29%28x-4%29-5=0
Graphically it looks like x=5 and x=9 are solutions.
Plug them into the equation to verify.
+graph%28+300%2C+300%2C+-5%2C+10%2C+-5%2C+5%2C+%28x-10%29%28x-4%29%2B5%29+
.
.
.
x%5E2-4x-1=0
+graph%28+300%2C+300%2C+-2%2C+5%2C+-5%2C+5%2C+x%5E2-4x-1%29+
Won't work graphically.
Use the quadratic formula.
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%284+%2B-+sqrt%28+16-4%2A1%2A%28-1%29%29%29%2F%282%2A1%29+
x+=+%284+%2B-+sqrt%28+20+%29%29%2F2+
x+=+%284+%2B-+2sqrt%28+5+%29%29%2F2+
x+=+2+%2B-+sqrt%28+5+%29+