Consider the following quadratic equation:

25x^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.

1 answer

To factor the left hand side of the equation, we can take the square root of both sides of the equation:

√(25x^2) = √(49)

This simplifies to:

5x = ±7

Now, we can write the equation as two linear factors:

(5x - 7)(5x + 7) = 0

So the left hand side of the equation is factored into two linear factors: (5x - 7) and (5x + 7).