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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Solve Using The Quadratic Formula Show All Work Write Each Solution In Simplest Form No Decimals class=

Sagot :

parasitemaster316

Answer:

C

Step-by-step explanation:

Use the quadratic formula

[tex]x = \frac{ - b + - \sqrt{{b}^{2} - 4ac}}{2a} [/tex]

(the plus and minus sign just means that there must be an answer plus the square root and subtracted)

Let a=1, b=9 and c=-11 and plug in the variables.

[tex]x = \frac{ - 9 + - \sqrt{ {9}^{2} - 4 \times 1 \times - 11} }{2 \times 1} [/tex]

Simplify

[tex]x = \frac{ - 9 + - \sqrt{81 + 44} }{2} [/tex]

[tex]x = \frac{ - 9 + - \sqrt{125} }{2} [/tex]

Simplify the radical

[tex]x = \frac{ - 9 + - \sqrt{25} \sqrt{5} }{2} [/tex]

[tex]x = \frac{ - 9 + - 5\sqrt{5} }{2} [/tex]

Then, adding and subtracting the square root, you get:

[tex]x = \frac{ - 9 + 5\sqrt{5} }{2}[/tex]

And

[tex]x = \frac{ - 9 - 5\sqrt{5} }{2}[/tex]

Hope this helps :)

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