Question
Solve the quadratic equation
Solve using the quadratic formula
Solve by completing the square
Solve using the PQ formula
x1=9−79,x2=9+79
Alternative Form
x1≈0.111806,x2≈17.888194
Evaluate
x2−18x=−2
Move the expression to the left side
x2−18x+2=0
Substitute a=1,b=−18 and c=2 into the quadratic formula x=2a−b±b2−4ac
x=218±(−18)2−4×2
Simplify the expression
More Steps

Evaluate
(−18)2−4×2
Multiply the numbers
(−18)2−8
Rewrite the expression
182−8
Evaluate the power
324−8
Subtract the numbers
316
x=218±316
Simplify the radical expression
More Steps

Evaluate
316
Write the expression as a product where the root of one of the factors can be evaluated
4×79
Write the number in exponential form with the base of 2
22×79
The root of a product is equal to the product of the roots of each factor
22×79
Reduce the index of the radical and exponent with 2
279
x=218±279
Separate the equation into 2 possible cases
x=218+279x=218−279
Simplify the expression
More Steps

Evaluate
x=218+279
Divide the terms
More Steps

Evaluate
218+279
Rewrite the expression
22(9+79)
Reduce the fraction
9+79
x=9+79
x=9+79x=218−279
Simplify the expression
More Steps

Evaluate
x=218−279
Divide the terms
More Steps

Evaluate
218−279
Rewrite the expression
22(9−79)
Reduce the fraction
9−79
x=9−79
x=9+79x=9−79
Solution
x1=9−79,x2=9+79
Alternative Form
x1≈0.111806,x2≈17.888194
Show Solution
