Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

solve for the roots in simplest form using the quadratic formula 4x^2-12x=-17

Sagot :

sqdancefan

9514 1404 393

Answer:

  x = 3/2 ± i√2

Step-by-step explanation:

For quadratic ax² +bx +c = 0, the roots are given by the formula ...

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

When we put your equation into standard form:

  4x^2 -12x +17 = 0

we see the relevant formula values are ...

  a = 4, b = -12, c = 17

Then the roots are ...

  [tex]x=\dfrac{-(-12)\pm\sqrt{(-12)^2-4(4)(17)}}{2(4)}=\dfrac{12\pm\sqrt{-128}}{8}\\\\x=\dfrac{3\pm2\sqrt{2}i}{2}=\boxed{\dfrac{3}{2}\pm i\sqrt{2}}[/tex]

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.