The Quadratic Formula: Complete the equation

Factoring trinomials using decompositionMissing formulaThird powerFactoring Out the Greatest Common Factor (GCF)Using fractionsUsing short multiplication formulasSystem of equations with no solutionIdentifying and defining elementsComplete the one solution equationEquations with variables on both sidesApplying the formula with two solutions
Question 1

What does \( \square \) need to be so that the equation below has no solution?

\( 4x^2+5x+\square=0 \)

Question 2

Complete the equation so that it has only one solution and then solve.

\( \square x^2+3x-2=0 \)

Question 3

Look at the following equation:

\( 7x^2+\square x+2=0 \)

Fill in the blank so that one of the solutions to the equation is -1.

Examples with solutions for The Quadratic Formula: Complete the equation

Exercise #1

What does □ \square need to be so that the equation below has no solution?

4x2+5x+□=0 4x^2+5x+\square=0

Video Solution

Answer

\frac{25}{16}< C

Exercise #2

Complete the equation so that it has only one solution and then solve.

□x2+3x−2=0 \square x^2+3x-2=0

Video Solution

Answer

x=43 x=\frac{4}{3} , □=−98 \square=-\frac{9}{8}

Exercise #3

Look at the following equation:

7x2+□x+2=0 7x^2+\square x+2=0

Fill in the blank so that one of the solutions to the equation is -1.

Video Solution

Answer

9