(1-x)^2 + (x-x^2) + 3 =0
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number of real solutions of |2x-x^2-3|=1 is (a) 0 (b) - Doubtnut
When `2x-x^2-3 = -1` `=>-x^2+2x-2 = 0` `=>D = b^2-4ac = 2^2-4(-1)(-2) = 4-8 = -4 ` As, `D lt 0`, no real roots are present ...
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(1-x)² + (x-x²) +3=0
or, 1-2x+x²+x-x²+3=0
or, -x+4=0
or, x= -4
Hope it helps...
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