Question
Solve the quadratic equation
Solve using the quadratic formula
Solve by completing the square
Solve using the PQ formula
x1=1−61,x2=1+61
Alternative Form
x1≈−6.81025,x2≈8.81025
Evaluate
x2−2x=60
Move the expression to the left side
x2−2x−60=0
Substitute a=1,b=−2 and c=−60 into the quadratic formula x=2a−b±b2−4ac
x=22±(−2)2−4(−60)
Simplify the expression
More Steps

Evaluate
(−2)2−4(−60)
Multiply the numbers
More Steps

Evaluate
4(−60)
Multiplying or dividing an odd number of negative terms equals a negative
−4×60
Multiply the numbers
−240
(−2)2−(−240)
Rewrite the expression
22−(−240)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
22+240
Evaluate the power
4+240
Add the numbers
244
x=22±244
Simplify the radical expression
More Steps

Evaluate
244
Write the expression as a product where the root of one of the factors can be evaluated
4×61
Write the number in exponential form with the base of 2
22×61
The root of a product is equal to the product of the roots of each factor
22×61
Reduce the index of the radical and exponent with 2
261
x=22±261
Separate the equation into 2 possible cases
x=22+261x=22−261
Simplify the expression
More Steps

Evaluate
x=22+261
Divide the terms
More Steps

Evaluate
22+261
Rewrite the expression
22(1+61)
Reduce the fraction
1+61
x=1+61
x=1+61x=22−261
Simplify the expression
More Steps

Evaluate
x=22−261
Divide the terms
More Steps

Evaluate
22−261
Rewrite the expression
22(1−61)
Reduce the fraction
1−61
x=1−61
x=1+61x=1−61
Solution
x1=1−61,x2=1+61
Alternative Form
x1≈−6.81025,x2≈8.81025
Show Solution
