0=-3/4 (x-1/2)^2+9

Solución

0 = - \frac{3}{4} (x - \frac{1}{2})^{2} + 9

x = 23 + \frac{1}{2}, x = - 23 + \frac{1}{2}

Notación decimal

x = 3.96410 \dots, x = - 2.96410 \dots

Pasos de solución

0 = - \frac{3}{4} (x - \frac{1}{2})^{2} + 9

Intercambiar lados

- \frac{3}{4} (x - \frac{1}{2})^{2} + 9 = 0

Mover

9

al lado derecho

- \frac{3}{4} (x - \frac{1}{2})^{2} = - 9

Multiplicar ambos lados por

4

- 3 (x - \frac{1}{2})^{2} = - 36

Dividir ambos lados entre

- 3

(x - \frac{1}{2})^{2} = 12

Para

(g (x))^{2} = f (a)

las soluciones son

g (x) = f (a), - f (a)

Resolver

x - \frac{1}{2} = 12 : x = 23 + \frac{1}{2}

Resolver

x - \frac{1}{2} = - 12 : x = - 23 + \frac{1}{2}

Las soluciones a la ecuación de segundo grado son:

x = 23 + \frac{1}{2}, x = - 23 + \frac{1}{2}

2704

3 x^{2} + 4 x - 1 = 0

2 x^{2} - 12 x + 12 = - 3

4 ∣ x - 3 ∣ > 8

x^{2} - 6 x - 16 > 0