Solving Quadratics by factors
Solve the following Quadratic:
(x+2)(x+1)=0
x=−2,−1
Solve the following Quadratic:
(2x−8)(x+3)=0
x=4,−3
What is the formula for the Discriminate?
Discriminant = b2 - 4ac
What is the Quadratic Formula?
Teacher check
Solve the following Quadratic:
x2+6x+8=0
x=−2,−4
Solve the following Quadratic:
2x2+9x+7=0
x=−1, 7/2
What would you use the discriminant for?
To determine the nature and number of roots a quadratic has
Solve the following quadratic equation by using the quadratic formula. Round your answer to the nearest hundredth: x2 - 9x + 6 = 0
X = 0.72
X = 8.27
Solve the following Quadratic:
x2+7x−18
x=2,−9
Solve the following Quadratic:
3x2+8x+5=0
x = - 1 , - 5/3
How many solutions does the following Quadratic have?
y=2x2+8x+8
Zero
Solve the following quadratic equation by using the quadratic formula (nearest tenth):
4x2 - 17x = -12
X = 0.9
X = 3.4
Solve the following Quadratic:
x2+6x+9=0
x = - 3
Solve the following Quadratic:
4x2−3x−10=0
x = 2, - 5/4
Find the value of k for which 2x2 - 6x + k = 0 has one distinct root.
k = 2/9
Using the Quadratic Formula, solve the following Quadratic. Give answers in root form
2x2+8x+7=0
x = (-9 +- rt(21))/6
Solve the following Quadratic:
x2−13x−30=0
x=−2,15
Solve the following Quadratic:
2x2+x−9 = 1
x = 2, - 5/2
Find all the values of p such that px2 + 7x + 14 = 0 has two real roots
p < 7/8
Solve for x if 7x2 = 5x + 1
Give answers to two decimal places
x = - 0.16 , 0.88