Question

Solve 2x^2+5x+1=0 using quadratic formulae

Answer 1

Answer:

2x² + 5x + 1 = 0

By quadratic formula

coefficient of x² be a

coefficient of x be b

constant be c

then ,

$x1 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a}$

$x2 = \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a}$

$x1 = \frac{ - 5 + \sqrt{ {5}^{2} - 4(2 \times 1) } }{(2 \times 2)}$

$x1 = \frac{ - 5 + \sqrt{17} }{4}$

$x2 = \frac{ - 5 - \sqrt{ {5}^{2} - 4(2 \times 1) } }{2 \times 2}$

$x2 = \frac{ - 5 - \sqrt{17} }{4}$

x1 and x2 are the two roots of the given quadratic equation.

hope it helps

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