Question

(x – 10)2 + x (x + 17) = 99

Answer 1

Resposta:

S={1, 1/2}

Explicação passo-a-passo:

(x-10)²+x.(x+17)=99

x²-2.x.10+(10)²+x²+17x=99

x²-20x+100+x²+17x=99

2x²-3x+100=99

2x²-3x+100-99=0

2x²-3x+1=0

a=2, b= -3 e c=1

delta =b²-4ac

delta =(-3)²-4.2.1

delta =9-8

delta =1

$\sqrt{1} = 1$

x'= [-(-3)+1]/2.2

x'=[3+1]/4

x'=[4]/4

x'=4/4

x'=1

x"=[-(-3)-1]/2.2

x"=[3-1]/4

x"=2/4

x"=1/2