Q. 24

# Solve the following quadratic equations by factorization: In factorization, we write the middle term of the quadratic equation either as a sum of two numbers or difference of two numbers such that the equation can be factorized. 4(x2 + 3x + (x – 1)(x – 2)) = 17(x2 – 2x)

4(x2 + 3x + x2 – 3x + 2) = 17(x2 – 2x)

8x2 + 8 = 17x2 – 34x

9x2 – 34x – 8 = 0

9x2 – 36x + 2x – 8 = 0

9x(x – 4) + 2(x – 4) = 0

(9x + 2)(x – 4) = 0

x = -2/9, 4

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