Question
Solve the equation(The real numbers system)
x1≈−2.880202,x2≈2.595101
Evaluate
x×x3−49=x(x−4)
Evaluate
More Steps

Evaluate
x×x3
Use the product rule an×am=an+m to simplify the expression
x1+3
Add the numbers
x4
x4−49=x(x−4)
Move the expression to the left side
x4−49−x(x−4)=0
Calculate
More Steps

Evaluate
−x(x−4)
Apply the distributive property
−x×x−(−x×4)
Multiply the terms
−x2−(−x×4)
Use the commutative property to reorder the terms
−x2−(−4x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−x2+4x
x4−49−x2+4x=0
Solution
x1≈−2.880202,x2≈2.595101
Show Solution

Solve the equation(The complex numbers system)
x1≈−2.880202,x2≈0.142551+2.556438i,x3≈0.142551−2.556438i,x4≈2.595101
Evaluate
x×x3−49=x(x−4)
Multiply the terms
More Steps

Evaluate
x×x3
Use the product rule an×am=an+m to simplify the expression
x1+3
Add the numbers
x4
x4−49=x(x−4)
Move the expression to the left side
x4−49−x(x−4)=0
Calculate
More Steps

Evaluate
−x(x−4)
Apply the distributive property
−x×x−(−x×4)
Multiply the terms
−x2−(−x×4)
Use the commutative property to reorder the terms
−x2−(−4x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−x2+4x
x4−49−x2+4x=0
Calculate
x≈2.595101x≈0.142551−2.556438ix≈0.142551+2.556438ix≈−2.880202
Solution
x1≈−2.880202,x2≈0.142551+2.556438i,x3≈0.142551−2.556438i,x4≈2.595101
Show Solution
