Question

Please Help!!!

Find the number of real number solutions for the equation. x^2 - 10x + 25 = 0

A. 0

B. Cannot br determined

C. 1

D. 2

Answer 1

From the equation
${x}^{2} - 10x + 25 = 0$
We can see that 25 is 5 × 5, and 10 is 5 + 5, so the equation simplifies to
$(x - 5)(x - 5) = 0 \\ {(x - 5)}^{2} = 0$
which then we use to set each parentheses to equal 0
$(x - 5) = 0 \\ x = 5$
Since both parentheses are the same, there is only one solution: C. 1 real number solution