Question

`√(2 - 7x) +2x = 0`
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Answer 1

√(2 - 7x) + 2x = 0

√(2 - 7x) = - 2x

[√(2 - 7x)]² = (- 2x)²

2 - 7x = 4x²

4x² + 7x - 2 = 0

4x² + 8x - x - 2 = 0

4x(x + 2) - (x + 2) = 0

(4x - 1)(x + 2) = 0

4x - 1 = 0 => 4x = 1 => x₁ = 1/4

x + 2 = 0 => x₂ = - 2