Question

${4x}^{2} + 9 = 12x$
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Answer 1

Resposta: x = 1,5 ou 3/2.

Explicação passo-a-passo:

$4x^{2} - 12x + 9 = 0\\x = \frac{-b+-\sqrt{delta} }{2a} \\\\delta = b^{2} - 4ac\\delta = 12^{2} - 4.4.9\\delta = 144 - 144\\delta = 0\\\sqrt{delta} = 0$

$x = \frac{-(-12)+-0}{2.4}\\\\x = \frac{-(-12)+-0}{8} \\\\x = \frac{12}{8}:2 \\\\x = \frac{3}{2} ou (1,5)$