Question

itle=" \sqrt{x - 3} + \sqrt{x + 5} = 4" alt=" \sqrt{x - 3} + \sqrt{x + 5} = 4" align="absmiddle" class="latex-formula">
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Answer 1

• Answer:

x = 4

• Step-by-step explanation:

√x-3 + √x+5 = 4

(√x-3)² = (4-√x+5)²

x-3 = 16 - 8√x+5 + x+5 | -x

- 3 = 21 - 8√x+5

- 24 = - 8√x+5 | ×(-1)

24 = 8√x+5 | : 8

3 = √x+5

3² = (√x+5)²

9 = x + 5

x = 4