Algebra
Calculus
Trigonometry
Matrix
Question
Find the roots
x1=4−47,x2=4+47
Alternative Form
x1≈−6.583005,x2≈14.583005
Evaluate
x2−8x−96
To find the roots of the expression,set the expression equal to 0
x2−8x−96=0
Substitute a=1,b=−8 and c=−96 into the quadratic formula x=2a−b±b2−4ac
x=28±(−8)2−4(−96)
Simplify the expression
More Steps
Evaluate
(−8)2−4(−96)
Multiply the numbers
More Steps
Evaluate
4(−96)
Multiplying or dividing an odd number of negative terms equals a negative
−4×96
Multiply the numbers
−384
(−8)2−(−384)
Rewrite the expression
82−(−384)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
82+384
Evaluate the power
64+384
Add the numbers
448
x=28±448
Simplify the radical expression
More Steps
Evaluate
448
Write the expression as a product where the root of one of the factors can be evaluated
64×7
Write the number in exponential form with the base of 8
82×7
The root of a product is equal to the product of the roots of each factor
82×7
Reduce the index of the radical and exponent with 2
87
x=28±87
Separate the equation into 2 possible cases
x=28+87x=28−87
Simplify the expression
More Steps
Evaluate
x=28+87
Divide the terms
More Steps
Evaluate
28+87
Rewrite the expression
22(4+47)
Reduce the fraction
4+47
x=4+47
x=4+47x=28−87
Simplify the expression
More Steps
Evaluate
x=28−87
Divide the terms
More Steps
Evaluate
28−87
Rewrite the expression
22(4−47)
Reduce the fraction
4−47
x=4−47
x=4+47x=4−47
Solution
x1=4−47,x2=4+47
Alternative Form
x1≈−6.583005,x2≈14.583005
Show Solution
