Consider the following quadratic equation:
x^2=49
Step 1 of 2 : Using the standard form ax2+bx+c=0
of the given quadratic equation, factor the left hand side of the equation into two linear factors.
To find the factors of the left-hand side of the equation x^2 = 49, we can use the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b).
In this case, we have x^2 = 49, so we can rewrite this as (x)^2 - 7^2 = 0. Now, we can apply the difference of squares formula:
(x + 7)(x - 7) = 0
So the left-hand side of the equation factors into two linear factors: (x + 7) and (x - 7).