Algebra
Calculus
Trigonometry
Matrix
Question
Find the roots
x1=11−217,x2=11+217
Alternative Form
x1≈−3.73092,x2≈25.73092
Evaluate
x2−22x−96
To find the roots of the expression,set the expression equal to 0
x2−22x−96=0
Substitute a=1,b=−22 and c=−96 into the quadratic formula x=2a−b±b2−4ac
x=222±(−22)2−4(−96)
Simplify the expression
More Steps
Evaluate
(−22)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
(−22)2−(−384)
Rewrite the expression
222−(−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
222+384
Evaluate the power
484+384
Add the numbers
868
x=222±868
Simplify the radical expression
More Steps
Evaluate
868
Write the expression as a product where the root of one of the factors can be evaluated
4×217
Write the number in exponential form with the base of 2
22×217
The root of a product is equal to the product of the roots of each factor
22×217
Reduce the index of the radical and exponent with 2
2217
x=222±2217
Separate the equation into 2 possible cases
x=222+2217x=222−2217
Simplify the expression
More Steps
Evaluate
x=222+2217
Divide the terms
More Steps
Evaluate
222+2217
Rewrite the expression
22(11+217)
Reduce the fraction
11+217
x=11+217
x=11+217x=222−2217
Simplify the expression
More Steps
Evaluate
x=222−2217
Divide the terms
More Steps
Evaluate
222−2217
Rewrite the expression
22(11−217)
Reduce the fraction
11−217
x=11−217
x=11+217x=11−217
Solution
x1=11−217,x2=11+217
Alternative Form
x1≈−3.73092,x2≈25.73092
Show Solution
