Question

3x² - 15 = 2√6x Qual resultado??

Answer 1

Explicação passo-a-passo:

$3x^{2} - 15 = 2 \sqrt{6x} \\ ( \frac{3x ^{2} - 15}{2} ) = (\sqrt{6x} ) \\ ( \frac{3x ^{2} - 15}{2} )^{2} = (\sqrt{6x} )^{2} \\ \frac{(3x ^{2} - 15)^{2} }{2^{2} } = 6x \\ (3x ^{2} - 15)^{2}= 6x \times 4\\(3x ^{2} - 15)^{2}= 24x \\(3x ^{2} - 15) \times (3x ^{2} - 15)= 24x \\9x^{4} - 45x^{2} - 45 {x}^{2} + 225 = 24x \\ 9 {x}^{4} -90 {x}^{2} - 24x + 225 = 0$