Algebra
Calculus
Trigonometry
Matrix
Question
Find the roots
x1=9−341,x2=9+341
Alternative Form
x1≈−10.209373,x2≈28.209373
Evaluate
x2−18x−288
To find the roots of the expression,set the expression equal to 0
x2−18x−288=0
Substitute a=1,b=−18 and c=−288 into the quadratic formula x=2a−b±b2−4ac
x=218±(−18)2−4(−288)
Simplify the expression
More Steps
Evaluate
(−18)2−4(−288)
Multiply the numbers
More Steps
Evaluate
4(−288)
Multiplying or dividing an odd number of negative terms equals a negative
−4×288
Multiply the numbers
−1152
(−18)2−(−1152)
Rewrite the expression
182−(−1152)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
182+1152
Evaluate the power
324+1152
Add the numbers
1476
x=218±1476
Simplify the radical expression
More Steps
Evaluate
1476
Write the expression as a product where the root of one of the factors can be evaluated
36×41
Write the number in exponential form with the base of 6
62×41
The root of a product is equal to the product of the roots of each factor
62×41
Reduce the index of the radical and exponent with 2
641
x=218±641
Separate the equation into 2 possible cases
x=218+641x=218−641
Simplify the expression
More Steps
Evaluate
x=218+641
Divide the terms
More Steps
Evaluate
218+641
Rewrite the expression
22(9+341)
Reduce the fraction
9+341
x=9+341
x=9+341x=218−641
Simplify the expression
More Steps
Evaluate
x=218−641
Divide the terms
More Steps
Evaluate
218−641
Rewrite the expression
22(9−341)
Reduce the fraction
9−341
x=9−341
x=9+341x=9−341
Solution
x1=9−341,x2=9+341
Alternative Form
x1≈−10.209373,x2≈28.209373
Show Solution
