Quadratic Formula - Equation to Radical Roots (Level 1) - Mobius Math Academy

Quadratic Formula - Equation to Radical Roots

Level 1

This math topic focuses on solving quadratic equations to find their radical roots. It is an introductory exercise to the quadratic formula and discriminants. The problems presented require the identification or calculation of roots from given quadratic equations. Each question provides a quadratic equation and multiple choice answers depicting potential solutions. The students' task is to determine the correct roots of the equation using the quadratic formula or by analyzing the structure of the equation and the discriminant.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Quadratic Formula - Equation to Radical Roots Worksheet

Quadratic Formula - Equation to Radical Roots

What roots (solutions) would this quadratic equation have?

A LaTex expression showing y=3x to the power of 2 +x

a $A LaTex expression showing x=-2.86 \\ x=5.08 \\$

b $A LaTex expression showing x=2.22 \\ x=-0.55 \\$

c $A LaTex expression showing x=2.58 \\ x=1.54 \\$

d $A LaTex expression showing x=0 \\x=-0.33 \\$

What roots (solutions) would this quadratic equation have?

A LaTex expression showing y=2x to the power of 2 -5x-3

a $A LaTex expression showing x=2.05 \\ x=4.34 \\$

b $A LaTex expression showing x=3 \\x=-0.5 \\$

c $A LaTex expression showing x=3.61 \\ x=5.07 \\$

d $A LaTex expression showing x=5.74 \\ x=1.78 \\$

What roots (solutions) would this quadratic equation have?

A LaTex expression showing y=-3x to the power of 2 +4x+3

a $A LaTex expression showing x=-0.54 \\x=1.87 \\$

b $A LaTex expression showing x=-5.81 \\ x=0.94 \\$

c $A LaTex expression showing x=-3.26 \\ x=3.51 \\$

d $A LaTex expression showing x=0.18 \\ x=4.36 \\$

What roots (solutions) would this quadratic equation have?

A LaTex expression showing y=2x to the power of 2 -3x-1

a $A LaTex expression showing x=1.35 \\ x=3.33 \\$

b $A LaTex expression showing x=-5.67 \\ x=-2.67 \\$

c $A LaTex expression showing x=1.78 \\x=-0.28 \\$

d $A LaTex expression showing x=5.16 \\ x=2.03 \\$

What roots (solutions) would this quadratic equation have?

A LaTex expression showing y=-1x to the power of 2 -4x+1

a $A LaTex expression showing x=3.49 \\ x=-0.65 \\$

b $A LaTex expression showing x=-0.02 \\ x=-3.37 \\$

c $A LaTex expression showing x=-4.24 \\x=0.24 \\$

d $A LaTex expression showing x=-3.83 \\ x=2.01 \\$

What roots (solutions) would this quadratic equation have?

A LaTex expression showing y=4x to the power of 2 -2x-5

a $A LaTex expression showing x=2.1 \\ x=1.14 \\$

b $A LaTex expression showing x=1.4 \\x=-0.9 \\$

c $A LaTex expression showing x=-5.17 \\ x=-2.53 \\$

d $A LaTex expression showing x=1.46 \\ x=-1.3 \\$

What roots (solutions) would this quadratic equation have?

A LaTex expression showing y=3x to the power of 2 +x-1

a $A LaTex expression showing x=5.13 \\ x=-3.4 \\$

b $A LaTex expression showing x=5.13 \\ x=-5.02 \\$

c $A LaTex expression showing x=-0.5 \\ x=2.51 \\$

d $A LaTex expression showing x=0.43 \\x=-0.77 \\$

What roots (solutions) would this quadratic equation have?

A LaTex expression showing y=5x to the power of 2 +2x

a $A LaTex expression showing x=0 \\x=-0.4 \\$

b $A LaTex expression showing x=-2.24 \\ x=2.2 \\$

c $A LaTex expression showing x=-3.16 \\ x=2.3 \\$

d $A LaTex expression showing x=3.27 \\ x=1 \\$