Processing Math: Done

From Förberedande kurs i matematik 1

We can simplify the left-hand side in the equation by expanding the squares using the squaring rule:

x+32−x−52=x2+23x+32−x2−25x+52=x2+6x+9−x2+10x−25=16x−16 

Thus, the equation is

16x−16=6x+4

Now, move all " x "s to the left-hand side (subtract 6x from both sides) and the constants to the right-hand side (add 16 to both sides)

16x−6x=4+1610x=20

Divide both sides by 10 to get the answer

x=1020=2

Finally, we check that x=2 satisfies the equation in the exercise:

LHS = 2+32−2−52=52−−32=25−9=16 

RHS = 62+4=12+4=16