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Solving Quadratic Equations by Factoring

 

1. x^2 -11x+19= -5

 Feb 12, 2019

Best Answer 

 #1
avatar+2856 
+4

1. First add 5 to both sides

 

\(x^2-11x+19+5=-5+(5)\)

 

So you get \(x^2-11x+24=0\)

 

2. Then factor

 

Since 3 and 8 add up to 11 and they multiply to 24. The factored version of the left side of the equation is \((x-3)(x-8)=0\)

 

3. Solve

 

You multiply each side by (x-3) or (x-8) to get \(\boxed{x=3, x=8}\)

 Feb 12, 2019
edited by CalculatorUser  Feb 12, 2019
 #1
avatar+2856 
+4
Best Answer

1. First add 5 to both sides

 

\(x^2-11x+19+5=-5+(5)\)

 

So you get \(x^2-11x+24=0\)

 

2. Then factor

 

Since 3 and 8 add up to 11 and they multiply to 24. The factored version of the left side of the equation is \((x-3)(x-8)=0\)

 

3. Solve

 

You multiply each side by (x-3) or (x-8) to get \(\boxed{x=3, x=8}\)

CalculatorUser Feb 12, 2019
edited by CalculatorUser  Feb 12, 2019
 #2
avatar+299 
+1

Thank you!

Nerd123  Feb 12, 2019
 #3
avatar+111433 
+1

Good job, CalculatorUser....!!!!

 

 

cool cool  cool

 Feb 12, 2019

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