Question

question solve for all values of x by factoring. x^2 - x + 5 = 5 answer attempt 1 out of 2 additional solution no solution x =

Explanation:

Step1: Simplify the equation

Subtract 5 from both sides: $x^{2}-x + 5-5=5 - 5$, which simplifies to $x^{2}-x=0$.

Step2: Factor out the common factor

Factor out $x$ from the left - hand side of the equation: $x(x - 1)=0$.

Step3: Use the zero - product property

If $ab = 0$, then either $a = 0$ or $b = 0$. So, if $x(x - 1)=0$, then $x=0$ or $x-1 = 0$.

Step4: Solve for $x$

From $x-1 = 0$, we get $x = 1$.

Answer:

$x = 0,x = 1$