the following equation
[tex] \frac{2}{r - 1} + \frac{4}{r - 5} = 7[/tex]
transform each of the following equations into a quadratic equation in the form ax²+bx+c=0
[tex] \frac{2}{r - 1} + \frac{4}{r - 5} = 7[/tex]
transform each of the following equations into a quadratic equation in the form ax²+bx+c=0
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7r² - 48r + 49 = 0.
Step-by-step explanation:
First, multiply the whole equation by the least common denominator. In this problem, the LCD is (r - 1)(r - 5).
Cancel denominators.
Distribute the terms.
Combine like terms.
Transpose all the terms to one side of the equation in order to set the other side equal to 0.
Combine like terms.
Therefore, the quadratic equation in the form ax² + bx + c = 0 is 7r² - 48r + 49 = 0.