Question

 2x²+x/11 = 2x+1             Qual o valor de x.

Answer 1

Valor de x

$\frac{2x^2+x}{11} =2x+1$

$2x^2+x=11(2x+1)$

$2x^2+x=22x+11$

$2x^2-21x-11=0$

a=2
b=-21
c=-11
Δ=b²-4ac
Δ=(-21)²-4(2)(-11)
Δ=441+88
Δ=529
√Δ=√529=23

$x= \frac{-b\pm \sqrt{\triangle} }{2a}= \frac{21\pm23}{4} =$

$x'= \frac{21+23}{4} = \frac{44}{4} =11$

$x"= \frac{21-23}{4} =- \frac{2}{4} =- \frac{1}{2}$