Question

(x + 5)2  ( x + 4 ) 2 + ( x - 3 )2

Answer 1

Respuesta:

(x+5)² = (x+4)²+(x-3)²

(x)²+2(x)(5)+(5)² = ((x)²+2(x)(4)+(4)²)+((x)²-2(x)(3)+(-3)²)

x²+10x+25 = (x²+8x+16)+(x²-6x+9)

x²+10x+25 = (1+1)x²+(8-6)x+(16+9)

x²+10x+25 = 2x²+2x+25

x²+10x+25-25 = 2x²+2x+25-25

x²+10x = 2x²+2x

x²+10x-x² = 2x²+2x-x²

10x = x²+2x

10x-10x = x²+2x-10x

0 = x²+(2-10)x

0 = x²+(-8)x

0 = x²-8x

x²-8x = 0

X1 = 0 ; X2 = 8

Explicación paso a paso: