Question

x-1=√x+11
please tell me how to solve it!

Answer 1

Hello !!

Solving...

x—1 = √(x+11)

√(x+11) = x—1

x+11 = (x—1)²

x+11 = x²—2•x•1+1²

x+11 = x²—2x+1

x²—2x+1 = x+11

x²—2x—x+1—11 = 0

x²—3x—10 = 0

∆ = b²—4•a•c

∆= (-3)²—4•1•(-10

∆ = 9+40

∆ = 49

x1 = (3+√49)/2•1

x1 = (3+7)/2 = 10/2 = 5

x2 =(3-7)/2 = -4 /2 = -2

Sol: { 5}

Só o 5 satifaz a equação ...