Question
Solve the quadratic equation
Solve using the quadratic formula
Solve by completing the square
Solve using the PQ formula
a1=17−86,a2=17+86
Alternative Form
a1≈−2.595918,a2≈36.595918
Evaluate
a2−34a−95=0
Substitute a=1,b=−34 and c=−95 into the quadratic formula a=2a−b±b2−4ac
a=234±(−34)2−4(−95)
Simplify the expression
More Steps

Evaluate
(−34)2−4(−95)
Multiply the numbers
More Steps

Evaluate
4(−95)
Multiplying or dividing an odd number of negative terms equals a negative
−4×95
Multiply the numbers
−380
(−34)2−(−380)
Rewrite the expression
342−(−380)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
342+380
Evaluate the power
1156+380
Add the numbers
1536
a=234±1536
Simplify the radical expression
More Steps

Evaluate
1536
Write the expression as a product where the root of one of the factors can be evaluated
256×6
Write the number in exponential form with the base of 16
162×6
The root of a product is equal to the product of the roots of each factor
162×6
Reduce the index of the radical and exponent with 2
166
a=234±166
Separate the equation into 2 possible cases
a=234+166a=234−166
Simplify the expression
More Steps

Evaluate
a=234+166
Divide the terms
More Steps

Evaluate
234+166
Rewrite the expression
22(17+86)
Reduce the fraction
17+86
a=17+86
a=17+86a=234−166
Simplify the expression
More Steps

Evaluate
a=234−166
Divide the terms
More Steps

Evaluate
234−166
Rewrite the expression
22(17−86)
Reduce the fraction
17−86
a=17−86
a=17+86a=17−86
Solution
a1=17−86,a2=17+86
Alternative Form
a1≈−2.595918,a2≈36.595918
Show Solution
