Question
Find the roots
x1=219−385,x2=219+385
Alternative Form
x1≈−0.310708,x2≈19.310708
Evaluate
x2−19x−6
To find the roots of the expression,set the expression equal to 0
x2−19x−6=0
Substitute a=1,b=−19 and c=−6 into the quadratic formula x=2a−b±b2−4ac
x=219±(−19)2−4(−6)
Simplify the expression
More Steps

Evaluate
(−19)2−4(−6)
Multiply the numbers
More Steps

Evaluate
4(−6)
Multiplying or dividing an odd number of negative terms equals a negative
−4×6
Multiply the numbers
−24
(−19)2−(−24)
Rewrite the expression
192−(−24)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
192+24
Evaluate the power
361+24
Add the numbers
385
x=219±385
Separate the equation into 2 possible cases
x=219+385x=219−385
Solution
x1=219−385,x2=219+385
Alternative Form
x1≈−0.310708,x2≈19.310708
Show Solution
