Question
Find the roots
Find the roots of the algebra expression
x1=−5−43,x2=−5+43
Alternative Form
x1≈−11.557439,x2≈1.557439
Evaluate
x2+10x−18
To find the roots of the expression,set the expression equal to 0
x2+10x−18=0
Substitute a=1,b=10 and c=−18 into the quadratic formula x=2a−b±b2−4ac
x=2−10±102−4(−18)
Simplify the expression
More Steps
Evaluate
102−4(−18)
Multiply the numbers
More Steps
Evaluate
4(−18)
Multiplying or dividing an odd number of negative terms equals a negative
−4×18
Multiply the numbers
−72
102−(−72)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
102+72
Evaluate the power
100+72
Add the numbers
172
x=2−10±172
Simplify the radical expression
More Steps
Evaluate
172
Write the expression as a product where the root of one of the factors can be evaluated
4×43
Write the number in exponential form with the base of 2
22×43
The root of a product is equal to the product of the roots of each factor
22×43
Reduce the index of the radical and exponent with 2
243
x=2−10±243
Separate the equation into 2 possible cases
x=2−10+243x=2−10−243
Simplify the expression
More Steps
Evaluate
x=2−10+243
Divide the terms
More Steps
Evaluate
2−10+243
Rewrite the expression
22(−5+43)
Reduce the fraction
−5+43
x=−5+43
x=−5+43x=2−10−243
Simplify the expression
More Steps
Evaluate
x=2−10−243
Divide the terms
More Steps
Evaluate
2−10−243
Rewrite the expression
22(−5−43)
Reduce the fraction
−5−43
x=−5−43
x=−5+43x=−5−43
Solution
x1=−5−43,x2=−5+43
Alternative Form
x1≈−11.557439,x2≈1.557439
Show Solution