Question

Please show work I want to learn! Simplify answer, using radicals as needed. Use integers or fractions for any number in the expression. Use a comma to separate answers as needed

Solve using the quadratic formula. 3x² - 5x = 5 Select the correct choice below and fill in any answer boxes in your choice.

Answer 1

Solution:

For a quadratic function $\small ax^{2}+bx+c=0$ ,

roots are given as:

- 4ac -b62 29

$\small 3x^{2}-5x=5$

$\small 3x^{2}-5x-5=0$

$\small x = \frac{-(-5)\pm \sqrt{(-5)^{2}-4\times 3\times (-5)}}{2\times 3}$

$\small x = \frac{5\pm \sqrt{25+60}}{2\times 3}$

$\small x = \frac{5\pm \sqrt{85}}{6}$

$\small x = \frac{5+ \sqrt{85}}{6}\textup{ and }x = \frac{5- \sqrt{85}}{6}$