Algebra
Calculus
Trigonometry
Matrix
Question
Find the roots
x1=4−27,x2=4+27
Alternative Form
x1≈−1.291503,x2≈9.291503
Evaluate
x2−8x−12
To find the roots of the expression,set the expression equal to 0
x2−8x−12=0
Substitute a=1,b=−8 and c=−12 into the quadratic formula x=2a−b±b2−4ac
x=28±(−8)2−4(−12)
Simplify the expression
More Steps
Evaluate
(−8)2−4(−12)
Multiply the numbers
More Steps
Evaluate
4(−12)
Multiplying or dividing an odd number of negative terms equals a negative
−4×12
Multiply the numbers
−48
(−8)2−(−48)
Rewrite the expression
82−(−48)
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+48
Evaluate the power
64+48
Add the numbers
112
x=28±112
Simplify the radical expression
More Steps
Evaluate
112
Write the expression as a product where the root of one of the factors can be evaluated
16×7
Write the number in exponential form with the base of 4
42×7
The root of a product is equal to the product of the roots of each factor
42×7
Reduce the index of the radical and exponent with 2
47
x=28±47
Separate the equation into 2 possible cases
x=28+47x=28−47
Simplify the expression
More Steps
Evaluate
x=28+47
Divide the terms
More Steps
Evaluate
28+47
Rewrite the expression
22(4+27)
Reduce the fraction
4+27
x=4+27
x=4+27x=28−47
Simplify the expression
More Steps
Evaluate
x=28−47
Divide the terms
More Steps
Evaluate
28−47
Rewrite the expression
22(4−27)
Reduce the fraction
4−27
x=4−27
x=4+27x=4−27
Solution
x1=4−27,x2=4+27
Alternative Form
x1≈−1.291503,x2≈9.291503
Show Solution
