Question

⚠️URGENTE⚠️
Se f(x) = x² - 15x + 24, qual o valor de x para que f(x) = - 2 ?​

Answer 1

Resposta:

Função do 2° grau.

$f(x) = {x}^{2} - 15x + 24 \\ \\ - 2 = {x}^{2} - 15x + 24 \\ \\ {x}^{2} - 15x + 24 + 2 = 0 \\ \\ {x}^{2} - 15x + 26 = 0 \\ \\Delta = {b}^{2} - 4ac \\ \\ Delta = ( { - 15)}^{2} - 4(1)(26) \\ \\ Delta = 225 - 104 \\ \\ delta = 121 \\ \\ Bhaskara \\ \\ \frac{ - b \frac{ + }{} \sqrt{Delta} }{4ac} \\ \\ \frac{ - ( - 15) \frac{ + }{} \sqrt{121} }{2(1)} \\ \\ \frac{15 \frac{ + }{} 11}{2} \\ \\ x1 = \frac{15 + 11}{2} = \frac{26}{2} = 13 \\ \\ x2 = \frac{15 - 11}{2} = \frac{4}{2} = 2$

X = 13 ou X = 2

Bons Estudos!