vvall0987
Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Find the zeros of the function: f(x)=-2x(x+7)+10x+70

Sagot :

theleangreenbean

Answer:

[tex]x=\displaystyle\frac{3\pm\sqrt{569}}{4}[/tex]

Step-by-step explanation:

Hi there!

[tex]f(x) = -2x(x+7)+10x+70\\f(x) = -2x^2-7x+10x+70\\f(x) = -2x^2+3x+70[/tex]

We can solve this by using the quadratic formula, which states:

[tex]x=\displaystyle\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex] where [tex]f(x)=ax^2+bx+c[/tex]

Plug in the values a, b and c:

[tex]x=\displaystyle\frac{-3\pm\sqrt{3^2-4(-2)(70)}}{2(-2)}\\\\x=\displaystyle\frac{-3\pm\sqrt{9+560}}{-4}\\\\x=\displaystyle\frac{-3\pm\sqrt{569}}{-4}\\\\x=\displaystyle\frac{3\pm\sqrt{569}}{4}[/tex]

I hope this helps!

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.