Cyclonedog13viz
Answered

27. The roots of the quadratic equation (x + 5)2 + (x-2)2=37?
A. X=2 or x=4
B. X=1 or x=-4
C. x=5 or x=-3
D. X=-1 or x= -4​

Sagot :

Prinsipyolangviz

Answer:

B. X=1, x=-4

Step-by-step explanation:

(x+5)^2 + (x-2)^2 =37

(x^2+10x+25) + (x^2 - 4x + 4) = 37

2x^2+6x+29=37

2x^2+6x+29-37

2x^2+6x-8=0

2x^2/2+6x/2-8/2=0

x^2+3x-4=0

x^2+4x-x-4=0

x(x+4)-(x+4)=0

(x+4) (x-1) =0

x+4=0, x-1=0

x=-4, x=1