Factor completely
Factor completely
x^2+3x
x(x+3)
Find the solutions/roots to the quadratic equation
v^2+3v-18=0
v= {-6,3}
Solve by taking square roots
n^2=2
{sqrt2, -sqrt2}
Solve using quadratic formula
6r^2-11r-10=0
{-2/3, 5/2}
Find the discriminant and tell how number and type of solutions.
10p^2+p+2=0
-79; two imaginary solutions
Factor completely
125x^2-5
5(5x+1)(5x-1)
Find the solutions/roots to the quadratic equation
r^2+r-56=0
r={-8,7}
Solve by taking square roots
k^2=-49
{7i,-7i}
Solve using quadratic formula
6n^2+5n+4=0
(-5+isqrt71)/12, (-5-isqrt71)/12
Find the discriminant and tell how number and type of solutions.
-5x^2-6x-1=0
16; two real rational solutions
Factor completely
a^2+12a+32
(a+4)(a+8)
Find the solutions/roots to the quadratic equation
p^2-9p=-18
p={3,6}
Solve by taking square roots
2x^2=-100
{5isqrt2,-5isqrt2}
Solve using quadratic formula
2x^2+9x=95
{5,-19/2}
Find the discriminant and tell how number and type of solutions.
-8b^2-8b=2
0; one real rational solution
Factor completely
5n^2+10n-120
5(n+6)(n-4)
Find the solutions/roots to the quadratic equation
7x^2+20x+12=0
{-6/7,-2}
Solve by taking square roots
b^2+7=16
{3,-3}
Solve using quadratic formula
5n^2+2n=11
{(-1+2sqrt14)/5,(-1-2sqrt14)/5}
Find the discriminant and tell how number and type of solutions.
x^2-4x+3
4; two real, rational solutions
Factor completely
9x^2-27x-10
(3x-10)(3x+1)
Find the solutions/roots to the quadratic equation
6m^2+53m+40=0
{-5/6,-8}
Solve by taking square roots
7(x-3)^2=448
x= {11,-5}
Solve using quadratic formula
4m^2=7m+2
{2,-1/4}
Find the discriminant and tell how number and type of solutions.
-9x^2+10=3x
369; two real, irrational solutions