Two numbers whose sum is 8 and the ...
Question

# Two numbers whose sum is 8 and the absolute value of whose difference is 10 are roots of the equation (a) x2 - 8r+9=0 (b) x2 - 8x - 9=0 (c) x2 + 8x -9=0 (d)-(-x2 + 8x +9)=0

JEE/Engineering Exams
Maths
Solution
140
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( (b, d) ) Let the roots be ( alpha ) and ( beta ). ( alpha+beta=8,|alpha-beta|=10 ) ( (alpha-beta)^{2}=100 ) ( (alpha+beta)^{2}-4 alpha beta=100 ) ( alpha beta=-9 ) ( therefore x^{2}-8 x-9=0 Rightarrowleft(x^{2}-8 x-9right)=0 ) or ( -left(-x^{2}+8 x+9right)=0 )