Question
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.
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.
Answers
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Answered by
GPT 3.5
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).
√(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).
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