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How is the concept of rational algebraic equation transformable to a quadratic equation applied in the situation?1/x+1/1+x=7/12.how is the concept of  rational algebraic equation transformable to a quadratic equation applied in the situation?1/x+1/1+x=7/12.

Sagot :

JthanSCOUTidn
The equation has no quadratic terms so it is a rational algebraic equation. To be able to transform it can be simply simplified:
1/x + 1/1+x = 7/12  First find the LCD and multiply it to each term (LCD=12x+12x²)
(12+12x) + 12x = 7x+7x²  Transpose the equation in the right side to the left side and combine the similar terms in the left side.
12+24x-7x-7x²=0
12+17x-7x²=0 Multiply it to -1 so that the quadratic term is positive and arrange the terms
7x²-17x-12=0
(7x+4)(x-3)=0
x = 3 and -4/7

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