Question
Solve the equation(The real numbers system)
x1≈−1.824134,x2≈1.790114
Evaluate
(421)x4=48−x
Evaluate
More Steps

Evaluate
421
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
24×2+1
Multiply the terms
28+1
Add the terms
29
29x4=48−x
Move the expression to the left side
29x4−(48−x)=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
29x4−48+x=0
Factor the expression
21(9x4−96+2x)=0
Divide both sides
9x4−96+2x=0
Solution
x1≈−1.824134,x2≈1.790114
Show Solution

Solve the equation(The complex numbers system)
x1≈−1.824134,x2≈0.01701−1.807284i,x3≈0.01701+1.807284i,x4≈1.790114
Evaluate
(421)x4=48−x
Covert the mixed number to an improper fraction
More Steps

Evaluate
421
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
24×2+1
Multiply the terms
28+1
Add the terms
29
29x4=48−x
Move the expression to the left side
29x4−(48−x)=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
29x4−48+x=0
Factor the expression
21(9x4−96+2x)=0
Divide both sides
9x4−96+2x=0
Calculate
x≈1.790114x≈0.01701+1.807284ix≈0.01701−1.807284ix≈−1.824134
Solution
x1≈−1.824134,x2≈0.01701−1.807284i,x3≈0.01701+1.807284i,x4≈1.790114
Show Solution
