Question

x^2+(x+1)^2=85 factorizw the following​

Answer 1

X2+(X+1)2=85

We move all terms to the left:

X2+(X+1)2-(85)=0

We add all the numbers together, and all the variables

X^2+(X+1)2-85=0

We multiply parentheses

X^2+2X+2-85=0

We add all the numbers together, and all the variables

X^2+2X-83=0

a = 1; b = 2; c = -83;

Δ = b2-4ac

Δ = 22-4·1·(-83)

Δ = 336

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

X1=−b−Δ√2a

X2=−b+Δ√2a

The end solution:

Δ−−√=336−−−√=16∗21−−−−−−√=16−−√∗21−−√=421−−√

X1=−b−Δ√2a=−(2)−421√2∗1=−2−421√2

X2=−b+Δ√2a=−(2)+421√2∗1=−2+421√2