Factor and solve Difference of Squares
x^2-81=0
(x+9)(x-9)
x = -9 and x = 9
x^2+13x+40=0
(x+5)(x+8)=0
x=-5 and x=-8
x^3+3x^2+6x+18
(x+3)(x^2+6)
x^2=19
x=+-sqrt19
What are the solutions to (5 - x)(8 + x)
x = 5, x = -8
Solve using the quadratic formula:
2x^2-3x-5=0
x=5/2 and x=-1
x^2+144=0
Cannot be factored
x^2+10x+24=0
(x+6)(x+4)=0
x=-6 and x=-4
3x^3-2x^2+15x-10
(3x-2)(x^2+5)
x^2-5=30
x=+-sqrt35
Find the two numbers that multiply to 90 and add to 21.
6 and 15
Solve using the quadratic formula:
2x^2-3x=20
x=5/2 and x=-4
4x^2-25=0
x=5/2and x=-5/2
x^2+7x-18=0
(x+9)(x-2)=0
x=-9 and x=2
7x^2-22x+3
(7x-1)(x-3)
(x-2)^2=21
x=2+-sqrt21
Find all the expressions that are equivalent to 2x − 3.
a) 2x+ (−3)
b) −(3−2x)
c) −2(x−3/2)
d) 3−2x
e) −2x+3
a) 2x+ (−3)
b) −(3−2x)
Solve using the quadratic formula:
4x^2 + 8x + 7 = 4
x=-1/2 and x=-3/2
49x^2-1=0
x= 1/7 and x=-1/7
x^2-17x+72=0
(x-8)(x-9)=0
x=8 and x=9
2x^2-9x+9
(2x-3)(x-3)
(x+5)^2=2
x=-5+-sqrt2
Put a + or - in each parenthesis so the expressions on each side of the equals sign are equivalent.
(x 5)(x 6) = x2 − 11x + 30
(x 5)(x 6) = x2 + 11x − 30
(x 5)(x 6) = x2 − x − 30
(x 5)(x 6) = x2 + x + 30
(x − 5)(x − 6) = x2 − 11x + 30
(x − 5)(x + 6) = x2 + x − 30
(x + 5)(x − 6) = x2 − x −30
(x + 5)(x + 6) = x2 + 11x + 30
2x^2 − 36 = x
x=9/2 and x=-4
80x^2-125=0
x=5/4 and x=-5/4
x^2-x-90=0
(x-10)(x+9)=0
x=10 and x=-9
7x^2+16x+4
(7x+2)(x+2)
3(x-6)^2=39
x=6+-sqrt13
A projectile is launched from the ground with an initial velocity of 60 meters per second. Its height, h(t), in meters after t seconds is given by:
h(t)=−5t2+60t. How long will it take for the projectile to hit the ground?
t = 12 seconds
2x^2− 7x − 13 = −10
(7+-sqrt73)/4