Question
Simplify the expression
2x2−11−63x
Evaluate
(2x2−11)−7x×9
Remove the parentheses
2x2−11−7x×9
Solution
2x2−11−63x
Show Solution

Find the roots
x1=463−4057,x2=463+4057
Alternative Form
x1≈−0.173646,x2≈31.673646
Evaluate
(2x2−11)−7x×9
To find the roots of the expression,set the expression equal to 0
(2x2−11)−7x×9=0
Remove the parentheses
2x2−11−7x×9=0
Multiply the terms
2x2−11−63x=0
Rewrite in standard form
2x2−63x−11=0
Substitute a=2,b=−63 and c=−11 into the quadratic formula x=2a−b±b2−4ac
x=2×263±(−63)2−4×2(−11)
Simplify the expression
x=463±(−63)2−4×2(−11)
Simplify the expression
More Steps

Evaluate
(−63)2−4×2(−11)
Multiply
More Steps

Multiply the terms
4×2(−11)
Rewrite the expression
−4×2×11
Multiply the terms
−88
(−63)2−(−88)
Rewrite the expression
632−(−88)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
632+88
Evaluate the power
3969+88
Add the numbers
4057
x=463±4057
Separate the equation into 2 possible cases
x=463+4057x=463−4057
Solution
x1=463−4057,x2=463+4057
Alternative Form
x1≈−0.173646,x2≈31.673646
Show Solution
