Question
Solve the quadratic equation
Solve using the quadratic formula
Solve by completing the square
Solve using the PQ formula
h1=7−52,h2=7+52
Alternative Form
h1≈−0.071068,h2≈14.071068
Evaluate
h2−14h−1=0
Substitute a=1,b=−14 and c=−1 into the quadratic formula h=2a−b±b2−4ac
h=214±(−14)2−4(−1)
Simplify the expression
More Steps

Evaluate
(−14)2−4(−1)
Simplify
(−14)2−(−4)
Rewrite the expression
142−(−4)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
142+4
Evaluate the power
196+4
Add the numbers
200
h=214±200
Simplify the radical expression
More Steps

Evaluate
200
Write the expression as a product where the root of one of the factors can be evaluated
100×2
Write the number in exponential form with the base of 10
102×2
The root of a product is equal to the product of the roots of each factor
102×2
Reduce the index of the radical and exponent with 2
102
h=214±102
Separate the equation into 2 possible cases
h=214+102h=214−102
Simplify the expression
More Steps

Evaluate
h=214+102
Divide the terms
More Steps

Evaluate
214+102
Rewrite the expression
22(7+52)
Reduce the fraction
7+52
h=7+52
h=7+52h=214−102
Simplify the expression
More Steps

Evaluate
h=214−102
Divide the terms
More Steps

Evaluate
214−102
Rewrite the expression
22(7−52)
Reduce the fraction
7−52
h=7−52
h=7+52h=7−52
Solution
h1=7−52,h2=7+52
Alternative Form
h1≈−0.071068,h2≈14.071068
Show Solution
