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Integration by Substitution

Solve: 6x2-7...

Question

Solve:
$6 x^{2} - 7 x - 3$ .

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Solution

$6 x^{2} - 7 x - 3 = 6 x^{2} - 9 x + 2 x - 3 = 3 x (2 x - 3) + 1 (2 x - 3) = (3 x + 1) (2 x - 3)$

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Similar questions

Q. Solve the quadratic equation

6 x^{2} + 7 x + 2 = 0

Q. Tick (✓) the correct answer:
(2x + 3)(3x − 1) = ?
(a) (6x² + 8x − 3)
(b) (6x² + 7x − 3)
(c) 6x²− 7x − 3
(d) (6x² − 7x + 3)

Q. Solve the following quadratic equation using formula method:

6 x^{2} - 7 x - 1 = 0

Tick $(✓)$ the correct answer in each of the following:
$(2 x + 3) (3 x - 1) = ?$

(a) $(6 x^{2} + 8 x - 3)$
(b) $(6 x^{2} + 7 x - 3)$
(c) $6 x^{2} - 7 x - 3$
(d) $(6 x^{2} - 7 x + 3)$

6 x^{2} + 7 x - 3

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