itle=" \sqrt{x - 3} + \sqrt{x + 5} = 4" alt=" \sqrt{x - 3} + \sqrt{x + 5} = 4" align="absmiddle" class="latex-formula">
1 answer:
<em>x = 4</em>
- Step-by-step explanation:
<em>√x-3 + √x+5 = 4</em>
<em>(√x-3)² = (4-√x+5)²</em>
<em>x-3 = 16 - 8√x+5 + x+5 | -x</em>
<em>- 3 = 21 - 8√x+5</em>
<em>- 24 = - 8√x+5 | ×(-1)</em>
<em>24 = 8√x+5 | : 8</em>
<em>3 = √x+5</em>
<em>3² = (√x+5)²</em>
<em>9 = x + 5</em>
<em>x = 4</em>
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