Question
Solve the quadratic equation
Solve using the quadratic formula
Solve by completing the square
Solve using the PQ formula
X1=55−233,X2=55+233
Alternative Form
X1≈39.735662,X2≈70.264338
Evaluate
X2−110X+2792=0
Substitute a=1,b=−110 and c=2792 into the quadratic formula X=2a−b±b2−4ac
X=2110±(−110)2−4×2792
Simplify the expression
More Steps

Evaluate
(−110)2−4×2792
Multiply the numbers
(−110)2−11168
Rewrite the expression
1102−11168
Evaluate the power
12100−11168
Subtract the numbers
932
X=2110±932
Simplify the radical expression
More Steps

Evaluate
932
Write the expression as a product where the root of one of the factors can be evaluated
4×233
Write the number in exponential form with the base of 2
22×233
The root of a product is equal to the product of the roots of each factor
22×233
Reduce the index of the radical and exponent with 2
2233
X=2110±2233
Separate the equation into 2 possible cases
X=2110+2233X=2110−2233
Simplify the expression
More Steps

Evaluate
X=2110+2233
Divide the terms
More Steps

Evaluate
2110+2233
Rewrite the expression
22(55+233)
Reduce the fraction
55+233
X=55+233
X=55+233X=2110−2233
Simplify the expression
More Steps

Evaluate
X=2110−2233
Divide the terms
More Steps

Evaluate
2110−2233
Rewrite the expression
22(55−233)
Reduce the fraction
55−233
X=55−233
X=55+233X=55−233
Solution
X1=55−233,X2=55+233
Alternative Form
X1≈39.735662,X2≈70.264338
Show Solution
