Algebra
Calculus
Trigonometry
Matrix
Question
c4−c5×c5−c6
Simplify the expression
c4−c10−c6
Evaluate
c4−c5×c5−c6
Solution
More Steps
Evaluate
c5×c5
Use the product rule an×am=an+m to simplify the expression
c5+5
Add the numbers
c10
c4−c10−c6
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Factor the expression
c4(1−c6−c2)
Evaluate
c4−c5×c5−c6
Multiply the terms
More Steps
Evaluate
c5×c5
Use the product rule an×am=an+m to simplify the expression
c5+5
Add the numbers
c10
c4−c10−c6
Rewrite the expression
c4−c4×c6−c4×c2
Solution
c4(1−c6−c2)
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Find the roots
c1≈−0.826031,c2=0,c3≈0.826031
Evaluate
c4−c5×c5−c6
To find the roots of the expression,set the expression equal to 0
c4−c5×c5−c6=0
Multiply the terms
More Steps
Evaluate
c5×c5
Use the product rule an×am=an+m to simplify the expression
c5+5
Add the numbers
c10
c4−c10−c6=0
Factor the expression
c4(1−c6−c2)=0
Separate the equation into 2 possible cases
c4=01−c6−c2=0
The only way a power can be 0 is when the base equals 0
c=01−c6−c2=0
Solve the equation
More Steps
Evaluate
1−c6−c2=0
Solve the equation using substitution t=c2
1−t3−t=0
Calculate
t≈0.682328
Substitute back
c2≈0.682328
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±0.682328
Simplify the expression
c=±0.826031
Separate the equation into 2 possible cases
c≈0.826031c≈−0.826031
c=0c≈0.826031c≈−0.826031
Solution
c1≈−0.826031,c2=0,c3≈0.826031
Show Solution