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Solve 2n^2+5n-7=0 using completing the square method. Solve EXACTLY like the example attached. Show ALL step.

Solve 2n^2+5n-7=0 using completing the square method. Solve EXACTLY like the example attached. Show ALL step.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.3: Solving Problems Involving Inequalities
Problem 14P
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Solve 2n^2+5n-7=0 using completing the square method.

Solve EXACTLY like the example attached. Show ALL step.

+ Solve x² + 12x + 32 = 0 -32-32 KUse opposite operations to take the constant to the other side so the variables are alone. Check if a = 1. If not divide all terms by & LC is * Take half of the linear term coefficient (ie divide by 2) and square it 1.12=676²3 Add that number on both sides of the equation to create the perfect square trinomial Factor the perfect square trinomigl Square root both sides and solve for x. Simplify the square root if possible X² + 12x +36 = -32 +36 (x+6)² = 4 √(x+6)² = ± √u + पि x+6= 154 $ {-8,-43 -6 x= -6±2 ✓ S X=-6+2 X = -4 X=-6-2 ___X = -8
Transcribed Image Text:+ Solve x² + 12x + 32 = 0 -32-32 KUse opposite operations to take the constant to the other side so the variables are alone. Check if a = 1. If not divide all terms by & LC is * Take half of the linear term coefficient (ie divide by 2) and square it 1.12=676²3 Add that number on both sides of the equation to create the perfect square trinomial Factor the perfect square trinomigl Square root both sides and solve for x. Simplify the square root if possible X² + 12x +36 = -32 +36 (x+6)² = 4 √(x+6)² = ± √u + पि x+6= 154 $ {-8,-43 -6 x= -6±2 ✓ S X=-6+2 X = -4 X=-6-2 ___X = -8
Solve 4n²+ 11n = 15 of Life નિ 4 Use opposite operations to take the constant to the other side so the variables are alone. Check if a = 1. If not divide all terms by + · + = + 1² + ( 41 ) ²³ 12 1 Take half of the linear term coefficient (ie divide by 2) and square it. Add that number on both sides of the equation to create the perfect square trinomial Factor the perfect square trinomial Square root both sides and solve for x Simplify the square root if possible n² + In 4 11 1²+ 47+1246 = 15/ {{₁1} 5 ما 7 (R2 + ½ 1² = 310 11 + 64 1€/+12104 64 Starty ² = = √3 + 1)² 36 + 64 n+ ² = ± √²361 64 n = ²2 +²²₁ 2²² 2² g 56 VIF M
Transcribed Image Text:Solve 4n²+ 11n = 15 of Life નિ 4 Use opposite operations to take the constant to the other side so the variables are alone. Check if a = 1. If not divide all terms by + · + = + 1² + ( 41 ) ²³ 12 1 Take half of the linear term coefficient (ie divide by 2) and square it. Add that number on both sides of the equation to create the perfect square trinomial Factor the perfect square trinomial Square root both sides and solve for x Simplify the square root if possible n² + In 4 11 1²+ 47+1246 = 15/ {{₁1} 5 ما 7 (R2 + ½ 1² = 310 11 + 64 1€/+12104 64 Starty ² = = √3 + 1)² 36 + 64 n+ ² = ± √²361 64 n = ²2 +²²₁ 2²² 2² g 56 VIF M
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