Factor the trinomial square and use the square root method to solve the equation. $x ^ { 2 } - 7 x + 5 = 5$
A) $0$
B) $\pm 7$
C) $0 , - 7$
D) $0,7$
E) $7$

Question

Quizplus · Accepted Answer

The trinomial square is $(x - 5)^2$. Using the square root method, we have:$$(x - 5)^2 = 5$$$$\sqrt{(x - 5)^2} = \pm \sqrt{5}$$$$x - 5 = \pm \sqrt{5}$$$$x = 5 \pm \sqrt{5}$$So the solutions are $x = 5 + \sqrt{5}$ and $x = 5 - \sqrt{5}$.

Factor the Trinomial Square and Use the Square Root Method x2−7x+5=5x ^ { 2 } - 7 x + 5 = 5x2−7x+5=5

Factor the Trinomial Square and Use the Square Root Method $x ^ { 2 } - 7 x + 5 = 5$