Question

Решите уравнения корень 4x + 1 = 4 и корень 4х ² + 5х-2=2

Answer 1

$sqrt{4x+1} =4$
4x+1=16
4x=15
x=3.75
.........................
$sqrt{4x^2+5x-2} =2$
$4x^2+5x-2 =4$
$4x^2+5x-6=0$
$D=5^2-4*4*(-6)=25+96=212$
$x_{1} = frac{-5+11}{8}= frac{3}{4} =0,75$
$x_{2} = frac{-5-11}{8}=-2$