Solving Quadratic Equations

What are the roots / solutions of the quadratic equation (x+ 1)² = 50?

Aiden, Michael, and Rohan are trying to launch a rocket. They notice that the rocket's flight path forms a parabola. What TWO solutions represent the way they could write the RANGE of this parabola?

• A

• B

• C

• D

Evelyn, Aiden, and Abigail are trying to solve a real-world problem using a quadratic equation. They came up with the equation
4x² – 8x = 3. Can you help them determine the values of
a, b, and c in their equation?

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

What appropriate method of solving can we used in the equations that are written in the form x² = c?

• factoring

• quadratic formula

• extracting square roots

• completing the square

Solve.

x² - 4 = 76

• No Real Number Solution

• x = ±4√5

• x = ±80

• x = ±5√4

• a=2, h=-4, k=-1

• a=-2, h=4, k=1

• a=2, h=4, k=1

• a=-2, h=-4, k=1

Benjamin, Liam, and Samuel are studying graphs in their math class. They come across a graph with a green dashed line. What is this green dashed line called in their study material?

• roots or x-intercepts

• parabola

• axis of symmetry

• line of dashes

What are the roots / solutions of the quadratic equation equation 2x² + 3 = 101 ?

• x = + 7

• x = + 8

• x = + 9

• x = + 10

Find the solution(s) of the given quadratic equation\left(x+3\right)^2=100