Answer:
x equals plus or minus square root of 5 minus 2
Step-by-step explanation:
Let's solve your equation step-by-step.
x²+4x=1
Step 1: Subtract 1 from both sides.
x²+4x−1=1−1
x²+4x−1=0
For this equation: a=1, b=4, c=-1
1x²+4x+−1=0
Step 2: Use quadratic formula with a=1, b=4, c=-1.
[tex] \sf \: x = \frac{−b± \sqrt{ b {}^{2} −4ac}}{2a}[/tex]
[tex]\sf \: x = \frac{−(4)± \sqrt{4 {}^{2} −4(1)( - 1)}}{2(1)}[/tex]
[tex] \sf \: x = \frac{−4±√20}{2} [/tex]
x=−2+√5 or x=−2−√5
