Question

3. If (x - 2)(x + 3) = x - 4, the value of x is
(2) 3
(b) 2
(d) -2​

Answer 1

Answer:

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Answer 2

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

______________ [ GIVEN ]

• We have to find the value of x.

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

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

=> x² + 3x - 2x - 6 = x - 4

=> x² + x - 6 = x - 4

=> x² + x - x - 6 + 4 = 0

=> x² - 2 = 0

=> x² = 2

=> x = √2

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$\huge{ \bold{x \: = \: \sqrt{2}}}$

____________ [ ANSWER ]

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✡ Verification :

From above calculations we have x = √2.

Put value of x in this equation :

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

-> x² + x - 6 = x - 4

-> (√2)² + √2 - 6 = √2 - 4

-> 2 + √2 - 6 = √2 - 4

-> √2 - 4 = √2 - 4

L.H.S. = R.H.S.

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