Question

How do i solve this equation using factoring method?
x² - 14x + 9 = 0 ​

Answer 1

To solve

the equation x² - 14x + 9 = 0 using factoring method, we need to find two numbers whose product is 9 and whose sum is -14.

We can see that -9 and -1 satisfy these conditions since (-9) * (-1) = 9 and (-9) + (-1) = -10.

So, we can rewrite the equation as:

x² - 9x - 5x + 9 = 0

Now, we can factor the expression by grouping:

(x² - 9x) + (-5x + 9) = 0

x(x - 9) - 5(x - 9) = 0

(x - 5)(x - 9) = 0

Therefore, the solutions are x = 5 or x = 9.

Answer 2

Certainly!

The text is asking how to solve the equation x² - 14x + 9 = 0 using the factoring method. Factoring is a method of finding the roots of a quadratic equation by expressing it as a product of two linear factors. The roots of a quadratic equation are the values of x that make the equation equal to zero. In this case, we are trying to find the values of x that satisfy the equation x² - 14x + 9 = 0.