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Don't just say the answer, please show how you got it so I can know for further use​

Dont Just Say The Answer Please Show How You Got It So I Can Know For Further Use class=

Sagot :

Answer:

C

Step-by-step explanation:

We have the equation:

[tex]x^2-6x=10[/tex]

We can subtract 10 from both sides:

[tex]x^2-6x-10=0[/tex]

Since this equation isn't factorable, we can use the quadratic formula:

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

In this case, a = 1, b = -6, and c = -10.

Substitute:

[tex]\displaystyle x=\frac{-(-6)\pm\sqrt{(-6)^2-4(1)(-10)}}{2(1)}[/tex]

Simplify:

[tex]\displaystyle x=\frac{6\pm\sqrt{76}}{2}[/tex]

Note that:

[tex]\sqrt{76}=\sqrt{4\cdot 19}=2\sqrt{19}[/tex]

Hence:

[tex]\displaystyle x=\frac{6\pm2\sqrt{19}}{2}=3\pm\sqrt{19}[/tex]

Therefore, our answer is C.