Question
Solve the equation(The real numbers system)
x∈/R
Evaluate
x4=(3x−10)×2
Evaluate
x4=2(3x−10)
Expand the expression
More Steps

Evaluate
2(3x−10)
Apply the distributive property
2×3x−2×10
Multiply the numbers
6x−2×10
Multiply the numbers
6x−20
x4=6x−20
Move the expression to the left side
x4−(6x−20)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x4−6x+20=0
Solution
x∈/R
Show Solution

Solve the equation(The complex numbers system)
x1≈−1.513383+1.811487i,x2≈−1.513383−1.811487i,x3≈1.513383+1.139811i,x4≈1.513383−1.139811i
Evaluate
x4=(3x−10)×2
Multiply the terms
x4=2(3x−10)
Expand the expression
More Steps

Evaluate
2(3x−10)
Apply the distributive property
2×3x−2×10
Multiply the numbers
6x−2×10
Multiply the numbers
6x−20
x4=6x−20
Move the expression to the left side
x4−(6x−20)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x4−6x+20=0
Calculate
x≈1.513383−1.139811ix≈1.513383+1.139811ix≈−1.513383−1.811487ix≈−1.513383+1.811487i
Solution
x1≈−1.513383+1.811487i,x2≈−1.513383−1.811487i,x3≈1.513383+1.139811i,x4≈1.513383−1.139811i
Show Solution
