Question

please solve it
I will mark you as brainliest
if your answer is right..
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Answer 1

Solution:-

Given Quadratic Polynomial Equation:-

12x² - 17x + 6 = 0.

=) 12x² - 17x + 6 = 0

=) 12x² - ( 9 + 8)x + 6 = 0

=) 12x² - 9x - 8x + 6 = 0

=) 3x ( 4x -3) -2 ( 4x - 3) = 0

=) ( 4x - 3)( 3x - 2)

=) [ x = 3/4 ] and [ x = 2/3 ].

Steps to Solve Questions by Splitting the Middle Term.

• Firstly, we usually split the Middle term such as the sum of the Splitted term is equal to the real term.
• We also see that the Product of the Splitted term is equal to the Product of First and last term of the Equation.

Answer 2

$12 {x}^{2} - 17x + 6 = 0 \\ \\ 12 {x}^{2} - 8x - 9x + 6 = 0 \\ \\ 4x(3x - 2) - 3(3x - 2) = 0 \\ \\ (3x - 2)(4x - 3) = 0 \\ \\ when \: (3x - 2) = 0 \\ \\ 3x = 2 \\ \\ x = \frac{2}{3} \\ \\ when \: (4x - 3) = 0 \\ \\ 4x = 3 \\ \\ x = \frac{3}{4}$

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