What will come at place of x, (x < 10) for (132 ÷ 12 × x - 3 × 3)/(52 - 6 × 4 + x2) = 1 ?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 1
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Understanding |
Application |
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Take denominator to RHS Solving using BODMAS Solve quadratic equation by factorization method. |
((132 ÷ 12 × x – 3 × 3))/((52 – 6 × 4 + x2 ) )=1 132 ÷ 12 × x – 3 × 3= 52 – 6 × 4 + x2 11× x – 3 × 3 =25 – 24 + x2 11x – 9 =1 + x2 x2 - 11x + 10=0 x2 - 10x – x +10=0 x(x - 10)-1(x - 10) =0 (x - 1)(x - 10)= 0 x= 1, 10 But x<10 Therefore, x=1 is the correct answer. |