Graph of $y = x^{2} + 7 x + 3$ intersects the $x$ -axis at __ points

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2.0

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2.00

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Solution

$y = x^{2} + 7 x + 3$
$a = 1, b = 7, c = 3$

$D = b^{2} - 4 a c = 49 - 4 (1) (3)$
$= 49 - 12 = 37 > 0$

As $D > 0$ , the roots will be real & distinct

So, graph of given expression touches the $x$ -axis at 2 points.

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