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.
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).