Question

a)√x-2=7

b)3√3-2=2√5x-1​

Answer 1

Resposta:

$a) \sqrt{x} - 2 = 7 \\ \sqrt{x} = 7 + 2 \\ \sqrt{x} = 9 \\ x = 81 \\ \\ b)3 \sqrt{3} - 2 = 2 \sqrt{5x} - 1 \\ - 2 \sqrt{5x} = - 1 - 3 \sqrt{3} + 2 \\ - 2 \sqrt{5x} = 1 - 3 \sqrt{3} \\ \sqrt{5x} = - \frac{1}{2} + \frac{3 \sqrt{3} }{2} \\ \sqrt{5x} = \frac{ - 1 + 3 \sqrt{3} }{2} \\ 5x = \frac{ (- 1 + 3 \sqrt{3} {)}^{2} }{4} \\ 5x = \frac{3 \sqrt{3} - 1 {)}^{2} }{4} \\ 5x = \frac{27 - 6 \sqrt{3} + 1 }{4} \\ 5x = \frac{28 - 6 \sqrt{3} }{4} \\ 5x = \frac{2(14 - 3 \sqrt{3}) }{4} \\ 5x = \frac{14 - 3 \sqrt{3} }{2} \\ x = \frac{14 - 3 \sqrt{3} }{10}$

• Espero ter ajudado.