SOLUTION: Solve the equation. a^2-a-2=0

Algebra.Com
Question 80544: Solve the equation.
a^2-a-2=0

Answer by tutorcecilia(2152)   (Show Source): You can put this solution on YOUR website!
=0 [solve for the a-term by factoring the polynomial]
(a+1)(a-2)=0 [set each factor equal to zero and solve]
a+1=0
a=-1
and
a-2=0
a=2
.
So, the answers are x = -1 and x=2
.
check by plugging the values for x back into the original equation and solve.
=0
Let x=-1
=0
1+1-2=0
2-2=0
0=0 [checks out]
and
=0
Let x=2
=0
4-2-2=0
4-4-0
0=0 [also checks out]
=0

RELATED QUESTIONS

Solve the quadratic equation:... (answered by solver91311,jim_thompson5910)
solve the equation x^3+2x^2+x+2=0, if -2 is a... (answered by Nate)
Solve the equation {{{x^3+2x^2+x+2=0}}}, if -2 is a... (answered by EMStelley)
Solve the equation x^3+2x^2+x+2=0, if -2 is a... (answered by checkley77)
solve the equation x^3+2x^2+x+2=0 if -2 is a... (answered by CharlesG2)
solve the equation x^3+2x^2+x+2=0, if -2 is a root. (answered by stanbon)
Solve the equation x^3+2x^2+x+2=0, if -2 is a... (answered by Edwin McCravy)
Solve on 0≤ θ < 2 π, using a calculator, the equation θ cos... (answered by stanbon)
solve the equation x3 + 2x2 + x + 2 = 0 if -2 is a... (answered by drj)