Algebra
Calculus
Trigonometry
Matrix
Question
Find the roots
x1=−105+5,x2=10−5+5
Alternative Form
x1≈−0.723607,x2≈−0.276393
Evaluate
5x2+5x+1
To find the roots of the expression,set the expression equal to 0
5x2+5x+1=0
Substitute a=5,b=5 and c=1 into the quadratic formula x=2a−b±b2−4ac
x=2×5−5±52−4×5
Simplify the expression
x=10−5±52−4×5
Simplify the expression
More Steps
Evaluate
52−4×5
Multiply the numbers
52−20
Evaluate the power
25−20
Subtract the numbers
5
x=10−5±5
Separate the equation into 2 possible cases
x=10−5+5x=10−5−5
Use b−a=−ba=−ba to rewrite the fraction
x=10−5+5x=−105+5
Solution
x1=−105+5,x2=10−5+5
Alternative Form
x1≈−0.723607,x2≈−0.276393
Show Solution
