Question

Solue given quadratic equation by formula method .
$4x { }^{2} + 5x + 1 = 0$
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Answer 1

$\bold{x = \frac{ - b \underline + \sqrt{ {b}^{2} } - 4ac}{2a}}$

$\bold{4x { }^{2} + 5x + 1 = 0}$

a=4

b=5

c=1

$\bold{x = \frac{ - 5\underline + \sqrt{ {5}^{2} } - 4 \times 4 \times 1}{2 \times 4}}$

$\bold{x = \frac{ - 5 \underline + 3}{8} }$

$\bold{x = \frac{ - 5 + 3}{8} }$

$\bold{x = \frac{ - 5 - 3}{8} }$

$\large \bold{x = \frac{ - 1}{4} } \\ \bold{x = 1}$