Mathematics: Use the quadratic formula to solve x2 - 5x - 2 = 0.

Use the quadratic formula to solve x2 - 5x - 2 = 0.

aliceotter2007

20.01.2022

x=-0.37 or 5.37

Step-by-step explanation:

The quadratic formula is;

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

The expression to be solved is

${x}^{2} - 5x - 2 = 0$

Comparing this to the general form of the quadratic equation,

$a{x}^{2} + bx + c = 0$

a=1, b=-5 and c =-2.

We substitute these values into the quadratic formula

$\implies x = \frac{ - ( - 5)\pm \sqrt{ { (- 5)}^{2} - 4(1)( - 2)} }{2(1)}$

Simplifying we obtain,

$x = \frac{ 5\pm \sqrt{25 + 8}}{2}$

$\implies x = \frac{ 5\pm \sqrt{28}}{2}$

$\implies x = \frac{5 + 2\sqrt{7} }{2}or \frac{5 - 2 \sqrt{7} }{2}$

$\implies x = \frac{5}{2} + \sqrt{7} or \frac{5 }{2} - \sqrt{7}$

x=5.37 or -0.37

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Gabilop

04.05.2022

yes the one u have marked is correct

Step-by-step explanation:

have a great day/night

trump2020 KMG MAGA

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