Question

Solve x2 – 10x + 25 = 35 for x. mc016-1.jpg mc016-2.jpg mc016-3.jpg mc016-4.jpg

Answer 1

To solve the equation x^2 - 10x + 25 = 35 for x, we can isolate x on one side of the equation by subtracting 35 from both sides. Then, we can factor the quadratic equation to find the solutions for x. The values of x that satisfy the equation are x = 5 and x = -2.

Step-by-step explanation:

To solve the equation x2 - 10x + 25 = 35 for x, we want to isolate x on one side of the equation.

First, subtract 35 from both sides of the equation:

x2 - 10x + 25 - 35 = 0

x2 - 10x - 10 = 0

Next, we can solve this quadratic equation by factoring:
x2 - 10x - 10 = (x - 5)(x + 2) = 0

This means that either x - 5 = 0 or x + 2 = 0. Solving these equations gives us two solutions: x = 5 or x = -2.

Therefore, the values of x that satisfy the equation x2 - 10x + 25 = 35 are x = 5 and x = -2.

Answer 2

you can solve this by factoring left side into perfect square.

`(x-5)^2 = 35`

Now take square root, remember to include plus-minus

`x - 5 = \pm √(35) \\ \\ x = 5 \pm √(35)`