Question

X^2=6x+1

rewrite the equation by completing the square your equation should look like (x+a)^2=b or (x-c)^2=d

What are the solutions to the equation?

Answer 1

x=3+√10 or x=3−√10

Let's solve your equation step-by-step.

x2=6x+1

Step 1: Subtract 6x+1 from both sides.

x2−(6x+1)=6x+1−(6x+1)

x2−6x−1=0

For this equation: a=1, b=-6, c=-1

1x2+−6x+−1=0

Step 2: Use quadratic formula with a=1, b=-6, c=-1.

x= −b±√b2−4ac

2a

x=

−(−6)±√(−6)2−4(1)(−1)

2(1)

x=

6±√40

2

x=3+√10 or x=3−√10Answer:

Explanation:

Answer 2

x=3+√10 or x=3−√10

Let's solve your equation step-by-step.

x2=6x+1

Step 1: Subtract 6x+1 from both sides.

x2−(6x+1)=6x+1−(6x+1)

x2−6x−1=0

For this equation: a=1, b=-6, c=-1

1x2+−6x+−1=0

Step 2: Use quadratic formula with a=1, b=-6, c=-1.

x= −b±√b2−4ac

2a

x=

−(−6)±√(−6)2−4(1)(−1)

2(1)

x=

6±√40

2

x=3+√10 or x=3−√10