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TiliK225 [7]
4 years ago
14

|x^2+x-1|=1 solve for x

Mathematics
1 answer:
Marizza181 [45]4 years ago
3 0

<span><span>x=<span>−3</span></span><span>x=<span>-3</span></span></span>

Here the steps

<span><span><span>2<span>x+1</span></span>−<span>1<span>x−1</span></span>=<span><span>2x</span><span><span>x2</span>−1</span></span></span><span><span>2<span>x+1</span></span>-<span>1<span>x-1</span></span>=<span><span>2x</span><span><span>x2</span>-1</span></span></span></span>

 <span>x<span>−3</span></span><span><span>(<span>x+1</span>)</span><span>(<span>x<span>−1</span></span>)</span></span>=<span><span>2x</span><span><span>(<span>x+1</span>)</span><span>(<span>x<span>−1</span></span>)</span></span></span><span><span><span>x<span>-3</span></span><span><span>x+1</span><span>x<span>-1</span></span></span></span>=<span><span>2x</span><span><span>x+1</span><span>x<span>-1</span></span></span></span></span>

<span><span><span>(<span>x+1</span>)</span><span>(<span>x<span>−1</span></span>)</span></span><span><span>x+1</span><span>x<span>-1</span></span></span></span>

<span><span><span>x<span>−3</span></span>=<span>2x</span></span><span><span>x<span>-3</span></span>=<span>2x</span></span></span>

<span><span>x=<span>−3</span></span><span>x=<span>-<span>3</span></span></span></span>

<span><span><span><span>So the answer comes out to be x = 3 I hope this was helpful </span></span></span></span>

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