Question

Решите уравнение:
4x^2 5x-6=0

Answer 1

$4 x^{2} +5x-6=0 \\ D=25+96=121=11^{2} \\ x_{1} = \frac{-5+11}{8} x_{1} = \frac{6}{8} = \frac{3}{4} \\ x_{2} = \frac{-5-11}{8} x_{2} =- \frac{16}{8} = -2$

$4 x^{2} +5x-6=0 \\ 4 x^{2} +8x-3x-6=0 \\ (4 x^{2}-x)+(6x-6)=0 \\ 4x(x+2)-3(x+2)=0 \\ (4x-3)(x+2)=0 \\ 4x-3=0 \\ 4x=3 \\ x= \frac{3}{4} \\ x+2=0 \\ x=-2$