Question
Find the roots
x1=25−37,x2=25+37
Alternative Form
x1≈−0.541381,x2≈5.541381
Evaluate
x2−5x−3
To find the roots of the expression,set the expression equal to 0
x2−5x−3=0
Substitute a=1,b=−5 and c=−3 into the quadratic formula x=2a−b±b2−4ac
x=25±(−5)2−4(−3)
Simplify the expression
More Steps

Evaluate
(−5)2−4(−3)
Multiply the numbers
More Steps

Evaluate
4(−3)
Multiplying or dividing an odd number of negative terms equals a negative
−4×3
Multiply the numbers
−12
(−5)2−(−12)
Rewrite the expression
52−(−12)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
52+12
Evaluate the power
25+12
Add the numbers
37
x=25±37
Separate the equation into 2 possible cases
x=25+37x=25−37
Solution
x1=25−37,x2=25+37
Alternative Form
x1≈−0.541381,x2≈5.541381
Show Solution
