Quadratic Formula
Solve using the quadratic formula. Write your answer in the simplest form: 9x2+12x+1=-3
-2/3
Find the constant (c-value) that is added to both sides of the equation for the quadratic equation:
x2+21=10x
25
Find the solutions to the quadratic equation
5x2 - 6 = 119
x= -5 , 5
Find the discriminant:
-8x2-3x-8=0
-247
Solve using the quadratic formula. Write your answer in the simplest form: 25x2+36x+9=6x
-2/3
Solve the equation for x by completing the square
x2+14x+48=0
x = -8, -6
Solve the equation for x.
2x2+6=20
x=+-+sqrt7
Find the discriminant:
-x2+9x-7=0
53
Solve using the quadratic formula. Write your answer in the simplest form: 4x2+17x+12=0
(-17+-sqrt97)/8
Solve the equation for x by completing the square:
x2-16x=-62
x = 8+-sqrt2
Solve the equation for x.
(x+10)2-8=8
x = -6, -14
Find the discriminant:
-2x2-40x-128=0
576
Solve using the quadratic formula. Write your answer in the simplest form: -2x2-5x-5=-5x2
(5+-sqrt85)/6
Solve the equation for x by completing the square:
5x2-10x=15
x= 3, -1
Solve the equation for x.
4(x - 8)2 +11 = 15
x = 9, 7
Find the discriminant and determine how many solutions:
x2-5x+22=-7x+2
-76; 2 non-real solutions
Solve using the quadratic formula. Write your answer in the simplest form: -4x2+2x-11=-5x2
-1+-2sqrt3
Solve the equation for x by completing the square:
4x2+236=64x
x=8+-sqrt5
Solve the equation for x.
3(4x+1)2 - 37=5
x=(-1+-sqrt14)/4
Find the discriminant and determine how many solutions:
x2+5x+9=-3x-3
16; two real solutions