Solving by Factoring (a=1)
What is the factored form of this equation?
x^2+6x+8=0
(x+4)(x+2)=0
What is the factored form of this equation?
5a^2+14a-3=0
(a+3)(5a-1)=0
Solve using the square root property.
x^2=121
x=11,-11
Solve using the square root property.
6t^2+60=126
x=sqrt11,-sqrt11
Solve the equation by factoring.
Note: Notice the highest exponent is 4. That tells you there's a max of 4 solutions.
x^4+6x^3-16x^2=0
x=0,2,-8
Solve the equation by factoring.
x^2-14x+24=0
x=2,12
What is the factored form of the equation?
4t^2+20t-24=0
4(t+6)(t-1)=0
Solve using the square root property.
x^2=2
x=-sqrt2,sqrt2
Solve using the square root property.
3x^2+39=45
x=sqrt2,-sqrt2
Solve the following equation for x.
Hint: Let u=x2. There will also be 4 solutions.
x^4-5x^2+4=0
x=-2,2,-1,1
Solve the equation by factoring.
x^2+6x-40=0
x=4,-10
Solve the equation by factoring.
2n^2-8n-24=0
n=6,-2
Solve using the square root property.
x^2-13=0
x=sqrt13,-sqrt13
Solve using the square root property.
x^2-150=0
x=5sqrt6,-5sqrt6
Solve the equation below.
9x^4-144=0
x=2,-2
Solve the equation by factoring.
x^2-3x-28=0
x=-4,7
Solve the equation by factoring.
3a^2-4a-4=0
a=2,-2/3
Solve using the square root property.
t^2-32=32
t=8,-8
Solve using the square root property.
3x^2-4=20
x=2sqrt2,-2sqrt2
Solve the equation below.
Hint: Let u=x2-1
(x^2-1)^2+5(x^2-1)-6=0
x=-sqrt2,sqrt2
Solve the equation by factoring.
x^2-3x=4
x=-1,4
Solve the equation by factoring.
6a^2+38a+12=0
a=-6,-1/3
Solve using the square root property.
36p^2=19
p=sqrt19/6,-sqrt19/6
Solve this equation.
(2x-1)^2=49
x=4,-3
Solve the equation below.
Hint: Let u=3x^2+4
2(3x^2+4)^2-12(3x^2+4)+16=0
x=0