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    Subject

    Quantitative Aptitude

    Topic

    Equation

    Find the value of x that satisfies the equation √(2x + 9) = 13 - x.

    ক)
    7
    খ)
    8
    গ)
    9
    ঘ)
    6

    Explanation

    √(2x + 9) = 13 - x ⇒ √(2x + 9) 2 =(13 − x) 2 ⇒ 2x + 9 = 169 − 26x + x 2 ⇒ x 2 − 26x − 2x + 169 − 9 = 0 ⇒ x 2 − 28x + 160 = 0 ⇒ (x − 20)(x − 8) = 0 ⇒ x = 20, 8 x = 20 হলে, বামপক্ষ = √[ 2 ( 20 ) + 9 ​] = √( 40 + 9) ​ = √ 49 ​ = 7 ডানপক্ষ = 13 − 20 = − 7 সুতরাং, x ≠ 20 x = 8 হলে, বামপক্ষ = √[ 2 (8 ) + 9 ​] = √(16 + 9) ​ = √25 ​ = 5 ডানপক্ষ = 13 − 8 = 5 সুতরাং, x = 8

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