SOLUTION: 2. Solve using the square root property: 2x^2 – 3 = 15

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Question 132986This question is from textbook intermediate algebra
: 2. Solve using the square root property:
2x^2 – 3 = 15
This question is from textbook intermediate algebra

Found 2 solutions by jim_thompson5910, vleith:
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
2x%5E2+-+3+=+15 Start with the given equation


2x%5E2+%2Bcross%28-+3%2B3%29+=+15%2B3 Add 3 to both sides


2x%5E2=+18 Combine like terms


cross%282%2F2%29x%5E2=+18%2F2 Divide both sides by 2


x%5E2=+9 Reduce


x=0%2B-sqrt%289%29 Take the square root of both sides


Break up the expression

x=sqrt%289%29 or x=-sqrt%289%29


Take the square root of 9 to get 3

x=3 or x=-3


So our answer is


x=3 or x=-3

Answer by vleith(2517) About Me  (Show Source):
You can put this solution on YOUR website!
Given 2x^2–3=15
2x%5E2+-18=0
x%5E2+-9+=+0
+%28x-3%29%28x%2B3%29+=+0+
so x = 3, x = -3 are solutions