Solving Quadratic Equations by Factoring

The graph and table both show methods that can be used to solve the equation x² - x - 2 = 0. Identify the solutions of the equation.

Marcela incorrectly used graphing to find the solution of x² - 2x + 5 = 0. Find and correct her error.

Graph the related function f(x) = x² - 2x + 5.

The graph intercepts the y-axis at (0, 5).

The solution of the equation is 5.

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

The solutions of the equation x² + 3x + 2 = 0 are _______ and _______.

Tags

CCSS.HSA-REI.B.4B

Nora made an incorrect statement when using factoring to solve the equation x² + 2x - 12 = 3. Find and correct her error.

Tags

CCSS.HSA-REI.B.4B

Write the factored form of the equation ( x² - 4x + 3 = 15 ). Then find the solutions.

Tags

CCSS.HSA-REI.B.4B

A student made an error when solving the quadratic equation. Find and correct the error the student made.

Tags

CCSS.HSA-REI.B.4B

Find the solution of the quadratic equation ( 9x² - 4 = 23 ) using square roots. Write in the form ( x = a ), where ( a ) is a real number. Approximate if necessary; round to the nearest hundredth.

Tags

CCSS.HSA-REI.B.4B

Solve ( -3x² + 4 = -104 ).

Tags

CCSS.8.EE.A.2

Solve ( 1/2x² - 3 = 37 ). Approximate solutions to the nearest hundredth.

Tags

CCSS.8.EE.A.2

Solve ( 3x²+ 5 = -145 ).

Tags

CCSS.8.EE.A.2