9l9-8xl=2x+3 it saids extraneous solution? can someone teach me step by step to solve this?
9|9−8x|=2x+3|(square both sides)92⋅(9−8x)2=(2x+3)281⋅(92−2⋅9⋅8⋅x+82x2)=22x2+2⋅2⋅3⋅x+3281⋅(81−144x+64x2)=4x2+12x+9812−81⋅144x+81⋅64x2=4x2+12x+96561−11664x+5184x2=4x2+12x+9|−4x26561−11664x+5180x2=12x+9|−12x6561−11676x+5180x2=9|−96552−11676x+5180x2=05180x2−11676x+6552=0|:41295x2−2919x+1638=0
ax2+bx+c=0x=−b±√b2−4ac2a
1295x2−2919x+1638=0|a=1295b=−2919c=1638x=−(−2919)±√(−2919)2−4⋅1295⋅16382⋅1295x=2919±√8520561−84848402590x=2919±√357212590x=2919±1892590x1=2919+1892590x1=31082590x1=1.2x2=2919−1892590x2=27302590x2=273259x2=1.¯054
