Solving Quadratics by Graphing, Table, Factoring, and Square Roots

Solve by graphing.

Separate numerical answers with a comma

Calculate the roots of the quadratic.

• x = 6 and 3

• x = 1 and 0

• x = 0 and 3

• x = 3 and 1

Could this be solved in Desmos?

• Yes; Find where the parabola crosses the x-axis.

• Yes; Find where the linear function crosses the x-axis.

• No. You have to use quadratic formula.

• No. You would need to use Pythagorean Theorem.

Using this graph, solve the equation x²+4x+5=2

• No solution

• x = -2

• x = -3 and x= -1

• x = 5

Using this graph, solve the equation x²+4x+5=5

• No solution

• {-4,0}

• {-2}

• {-3, -1}

Using this graph, solve the equation x²+4x+5=0

• No solution

• {-4,0}

• {-2}

• {-3, -1}

Use the table to solve the equation x²-2=-1

• {-1}

• {0}

• {-1,1}

• No solution

Solving by Factoring: Which equation is equivalent to v²-5v=0

• v(v-5)=0

• (v-5)=0

• (v-5)(v+5)=0

• 5(V-1)=0

Use the zero product property to solve the equation.

• 3x+1=0 or x-4=0

• {1/3, 4}

• {-4, -1/3}

• {-1/3, 4}

Solve by Factoring: v²-5v=0

• x=5

• x=0

• x=0 and x=5

• x=5 and x=25