Name:___________________________
Date:_____________
Algebra Common Core
Quadratic Formula
Homework: Use the quadratic formula to solve each equation. Make sure to round appropriately.
1) Solve for all roots.
2𝑥 2 + 7𝑥 − 4 = 0
3) Solve for all roots. Round to the nearest
hundredth.
2) Solve for all roots in simplest radical form.
𝑥 2 = 4(3𝑥 − 2)
4) Solve for all roots in simplest radical form.
𝑐2 − 4 = 3
2
𝑏 + 10𝑏 + 1 = 0
5) Solve for all roots.
a) Simplest radical form.
b) Round to the nearest hundredth.
3𝑥 2 + 𝑥 + 1 = −5𝑥 − 1
6) Solve for all roots.
a) Simplest radical form.
b) Round to the nearest tenth.
𝑚2 − 2𝑚 = 1
Name:_______________________
Date:__________________
Topic: Quadratics
Aim: How do we solve quadratic equations using the quadratic formula?
Quadratic Formula
x
 b  b 2  4ac
2a
Solve the following quadratic equations for all roots using the quadratic formula.
1) a) Simplest radical form.
b) Round to the nearest hundredth.
x 2  4x  1  0
3) a) Simplest radical form.
b) Round to the nearest thousandth.
3 y 2  2( y  2)
2) a) Simplest radical form.
b) Round to the nearest tenth, if necessary.
2 x 2  5x  2 x  9
1) a) Simplest radical form.
b) Round to the nearest hundredth.
2 p2  9
2) a) Simplest radical form.
b) Round to the nearest tenth.
2m 2  1  4m
4) Round to the nearest hundredth.
x( x  3)  5
3) a) Simplest radical form.
b) Round to the nearest thousandth.
x 2  2 x  12
5) Solve for all roots.
3 2
R  2R  2
2