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Question

The number of real solutions of the equation:
$$e^x=x^2+14x+49$$, is


A
0
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B
1
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C
2
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D
none of these
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Solution

The correct option is C $$2$$

$${ x }^{ 2 }+14x+49={ (x+7) }^{ 2 }$$

$${ e }^{ x }={ (x+7) }^{ 2 }$$

Curves of $${ e }^{ x }$$ and $${ (x+7) }^{ 2 }$$ intersect at two points

 


657229_591334_ans_997142e0e4994ff381727ab28aeebce9.png

Maths

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