Solve by Factoring
x2 - 1 = 0
{-1, 1}
Solve the following quadratic equation by taking the square root:
x2 - 4 = 0
{-2, 2}
Solve the following quadratic equation by completing the square: x2 + 6x = -8
{-4, -2}
What is the quadratic formula?
x = -b +- sqrt(b2 - 4ac) /(2a)
What are three other names for solution?
Roots
x-intercepts
zeros
Solve the following quadratic equation by factoring.
x2 - 6x + 5 = 0
{1, 5}
Solve the following quadratic equation by taking the square root:
9x2 - 81 = 0
{-3, 3}
Solve the following quadratic equation by completing the square: x2 - 6x = -5
{1, 5}
Solve the following quadratic equation by using the quadratic formula: x2 + 6x + 5 = 0
x = -1, x = -5
What is the discriminant formula?
b2-4ac
Solve the following quadratic equation by factoring.
n2 - 7n + 6=0
{6, 1}
Solve the following quadratic equation by taking the square root
5k2 -14 =11
{ +-sqrt5 }
Solve the following quadratic equation by completing the square: x2 - 2x = 24
{-4, 6}
Solve the following quadratic equation by using the quadratic formula. Round your answer to the nearest hundredth: x2 - 9x + 6 = 0
{0.72, 8.27}
Find the discriminant of 2x2 +7x = -3 and tell how many and what type
25; two real roots
Solve the following quadratic equation by factoring.
b2 - 8b = 20
{10, -2}
Solve the following quadratic equation by taking the square root:
3n2 - 12 = 4
{ +-(4sqrt3)/3 }
Solve the following quadratic equation by completing the square. Round your answers to the nearest hundredth: x2 + 10x +5 = 0
{-0.53, -9.47}
Solve the following quadratic equation by using the quadratic formula: 2x2 + 9x + 4 = 0
{-1/2, -4}
What is the standard form of a quadratic equation?
ax2 + bx + c = 0
Solve the following quadratic equation by factoring.
9x2 + 5x - 24= 8x2 + -5x
{-12, 2}
Solve the following quadratic equation by taking the square root:
-2m2 +72 = -3
{ +-(5sqrt3) }
Solve the following quadratic equation by completing the square (nearest tenth):
x2 - 8x + 13 = 0
x = 5.7, x = 2.3
Solve the following quadratic equation by using the quadratic formula (nearest tenth):
4x2 - 17x =-12
{0.9, 3.4}
You and a friend are hiking in the mountains. You want to climb to a ledge that is 5ft above you. The height of the grappling hook you throw is given by the function h(t)=-16t2 +32t +5. How long in seconds will it take for it to hit the ground?
t = 49 seconds