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Equations- Factorization of a polynomial equation – Exercise 5598


Factor the quadratic equation


Final Answer




It’s a quadratic equation with the coefficients:

a=9, b=-42, c=49

We solve it with the quadratic formula. Putting the coefficients in the formula gives us

x_{1,2}=\frac{42\pm \sqrt{{42}^2-4\cdot 9\cdot 49}}{2\cdot 9}=

=\frac{42\pm 0}{18}=


We got one solution for a quadratic equation, so it appears twice in the factorizing of the equation:



we can get rid of the fraction:




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