Question

Solve the equation by factoring.
V²-6v+9=0

Answer 1

The best way to factor here would be to first expand the equation. Find the product for a * c variables and the sum of the b variable, which are 1*9 and -6, so 9 and -6. Now find two numbers that would add multiply to the product (9) and add to the sum (-6). These two numbers are -3, because -3 x -3 = 9, and -3 + -3 = -6. So you could expand the equation to: V^2 - 3v -3v +9 bc -3v + 3v = -6v so you can substitute them.
Then use greatest common factoring to get the common factors out of the equation by breaking the equation in half and dividing out a v and a -3 to get v(v-3) + -3(v-3), then combine it to get (v-3) * (v-3) or (v-3)^2

Answer 2

The solutions to the equation are V = 3 and V = 3.

Explanation:

To solve this equation by factoring, we need to find two integers that multiply to 9 and add to -6. The two integers that satisfy this condition are -3 and -3.

We can use these integers to factor the quadratic equation as follows:

V² - 6v + 9 = (V - 3)(V - 3)

Then, we can set each factor equal to zero and solve for V:

V - 3 = 0

V = 3

The solutions to the equation are V = 3 and V = 3.