Question
Find the roots
x1=27−65,x2=27+65
Alternative Form
x1≈−0.531129,x2≈7.531129
Evaluate
x2−7x−4
To find the roots of the expression,set the expression equal to 0
x2−7x−4=0
Substitute a=1,b=−7 and c=−4 into the quadratic formula x=2a−b±b2−4ac
x=27±(−7)2−4(−4)
Simplify the expression
More Steps

Evaluate
(−7)2−4(−4)
Multiply the numbers
More Steps

Evaluate
4(−4)
Multiplying or dividing an odd number of negative terms equals a negative
−4×4
Multiply the numbers
−16
(−7)2−(−16)
Rewrite the expression
72−(−16)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
72+16
Evaluate the power
49+16
Add the numbers
65
x=27±65
Separate the equation into 2 possible cases
x=27+65x=27−65
Solution
x1=27−65,x2=27+65
Alternative Form
x1≈−0.531129,x2≈7.531129
Show Solution
