Question
Solve the equation(The real numbers system)
x∈/R
Evaluate
x4=(4x−5)×2
Evaluate
x4=2(4x−5)
Expand the expression
More Steps

Evaluate
2(4x−5)
Apply the distributive property
2×4x−2×5
Multiply the numbers
8x−2×5
Multiply the numbers
8x−10
x4=8x−10
Move the expression to the left side
x4−(8x−10)=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
x4−8x+10=0
Solution
x∈/R
Show Solution

Solve the equation(The complex numbers system)
x1≈−1.323757−1.806428i,x2≈−1.323757+1.806428i,x3≈1.323757−0.491407i,x4≈1.323757+0.491407i
Evaluate
x4=(4x−5)×2
Multiply the terms
x4=2(4x−5)
Expand the expression
More Steps

Evaluate
2(4x−5)
Apply the distributive property
2×4x−2×5
Multiply the numbers
8x−2×5
Multiply the numbers
8x−10
x4=8x−10
Move the expression to the left side
x4−(8x−10)=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
x4−8x+10=0
Calculate
x≈1.323757+0.491407ix≈1.323757−0.491407ix≈−1.323757+1.806428ix≈−1.323757−1.806428i
Solution
x1≈−1.323757−1.806428i,x2≈−1.323757+1.806428i,x3≈1.323757−0.491407i,x4≈1.323757+0.491407i
Show Solution
