Question
Solve the equation(The real numbers system)
Solve for p in the real numbers system
p1≈−1.044681,p2≈1.129196
Evaluate
p−1=5p3×p−8
Evaluate
More Steps

Evaluate
5p3×p
Multiply the terms with the same base by adding their exponents
5p3+1
Add the numbers
5p4
p−1=5p4−8
Move the expression to the left side
p−1−(5p4−8)=0
Subtract the terms
More Steps

Evaluate
p−1−(5p4−8)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
p−1−5p4+8
Add the numbers
p+7−5p4
p+7−5p4=0
Solution
p1≈−1.044681,p2≈1.129196
Show Solution
Solve the equation(The complex numbers system)
Solve for p in the complex numbers system
p1≈−0.042258+1.08858i,p2≈−0.042258−1.08858i,p3≈−1.044681,p4≈1.129196
Evaluate
p−1=5p3×p−8
Multiply
More Steps

Evaluate
5p3×p
Multiply the terms with the same base by adding their exponents
5p3+1
Add the numbers
5p4
p−1=5p4−8
Move the expression to the left side
p−1−(5p4−8)=0
Subtract the terms
More Steps

Evaluate
p−1−(5p4−8)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
p−1−5p4+8
Add the numbers
p+7−5p4
p+7−5p4=0
Calculate
p≈−1.044681p≈−0.042258−1.08858ip≈−0.042258+1.08858ip≈1.129196
Solution
p1≈−0.042258+1.08858i,p2≈−0.042258−1.08858i,p3≈−1.044681,p4≈1.129196
Show Solution