Question

(1) (2x + 3) (x – 4) = 6
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Answer 1

Answer:

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Step-by-step explanation:

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X = 9/2 or -2

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Answer 2

$\huge{\bf{\color{teal}{\sf{Question}}}}$:—

(2x + 3) (x – 4) = 6

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$\boxed{\huge{\mathcal{ <strong><em><u>Answer</u></em></strong> } }}$ x = 9/2 & - 2

Explanation :

To find Value of "x"

Use basic Algebraic functions .

→ (2x + 3) (x – 4) = 6

→ (2x² -8x +3x -12 ) = 6

→ 2x² -5x -12 -6 = 0

→ 2x² -5x - 18 = 0

Apply, middle term splitting ,

→ 2x² + 4x -9x - 18 = 0

→ 2x(x +2) -9(x + 2) = 0

→ (2x - 9) ( x + 2) = 0

Equate them to zero to get factors

→ (2x - 9) = 0

x→ = 9/2

→ ( x + 2) = 0

→x = -2

So, We get 2 values of 'x'

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What's an Quadratic equation ?

→ Any 2 degree equation of the form ax² + bx² + c = 0 is an Quadratic equation.

→ it has 2 roots or solution.

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