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Dmitry_Shevchenko [17]
3 years ago
12

What is the quadratic. Formula?

Mathematics
1 answer:
balu736 [363]3 years ago
6 0

Answer:

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

Step-by-step explanation:

For example, we'll use this quadratic equation.

{x}^{2}  + 5x + 6

To understand how to plug it into the formula we need to know what each term represents.

a {x}^{2}  + bx + c

So the equation above would be put into the formula like this.

x =  \frac{ - 5± \sqrt{ {5}^{2}  -  4(1)(6) } }{2(1)}

Then we would solve

\frac{ - 5± \sqrt{25 - 24} }{2}  \\ \\  =  \frac{ -5±1}{2}

Now, the equation will branch off into one that solves when addition and one when subtraction.

\frac{ - 5 + 1}{2}  =  \frac{ - 4}{2}  =  - 2 \\  \\   \frac{ - 5 - 1}{2}  =  \frac{ - 6}{2}  =  - 3

So x={-3, -2} (-3 and -2)

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