consider the following quadratic equation 64x^2=49 using the standard form ax^(2)+bx+c=0 of the given quadratic equation factor the left hand side of the equation into two linear factors
To rewrite the equation 64x^2 = 49 in standard form, we subtract 49 from both sides:
64x^2 - 49 = 0
To factor the left-hand side of the equation into two linear factors, we can use the difference of squares formula, which states that a^2 - b^2 can be factored into (a + b)(a - b).
In this case, we have 64x^2 - 49 which can be rewritten as (8x)^2 - 7^2.
So, using the difference of squares formula, we can factor 64x^2 - 49 into:
(8x + 7)(8x - 7) = 0
Thus, the quadratic equation 64x^2 = 49, when written in standard form and factored, becomes (8x + 7)(8x - 7) = 0.