What is the answer to ((x^3-3x^2-13x+15))/((x-1))=x^2-2x-15 ?

The answer to ((x^3-3x^2-13x+15))/((x-1))=x^2-2x-15 is x\ne 1

Popular >

((x^3-3x^2-13x+15))/((x-1))=x^2-2x-15

\frac{( x ^{3} - 3 x ^{2} - 13 x + 15 )}{( x - 1 )} = x^{2} - 2 x - 15

x \neq = 1

Solution steps

\frac{( x ^{3} - 3 x ^{2} - 13 x + 15 )}{( x - 1 )} = x^{2} - 2 x - 15

Simplify

\frac{x ^{3} - 3 x ^{2} - 13 x + 15}{x - 1} : (x + 3) (x - 5)

(x + 3) (x - 5) = x^{2} - 2 x - 15

Solve

(x + 3) (x - 5) = x^{2} - 2 x - 15 :

True for all

x

True for all x

Verify Solutions

Find undefined (singularity) points:

x = 1

Since the equation is undefined for:

1

x \neq = 1

a, k = \frac{a ^{2}}{( 1 - a ) ^{2}}

\frac{1}{3 ( x + \frac{1}{2} )} = \frac{7}{30}

\frac{a ^{7}}{8} = \frac{5}{x}

\frac{x ^{2} + 1}{( 25 x ^{2} )} = \frac{83}{5}

\frac{1}{3 \cdot ( x - 2 ) ^{3}} = x + 4

What is the answer to ((x^3-3x^2-13x+15))/((x-1))=x^2-2x-15 ?
The answer to ((x^3-3x^2-13x+15))/((x-1))=x^2-2x-15 is x\ne 1
Solve for x: ((x^3-3x^2-13x+15))/((x-1))=x^2-2x-15
The solution is x\ne 1