Question

Solve using quadratic formula.

Answer 1

Answer:

1. 2/5,-3 2. $x=\frac{-5+-\sqrt{13} }{6}$

Step-by-step explanation:

i used the quadratic formula to find x also please note that 2 has 2 answers bc of the +- beofre the sqrt of 13  

Answer 2

Step-by-step explanation:

1).

5x² + 13x - 6 = 0

Using the quadratic formula

$x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a}$

a = 5 , b = 13 c = - 6

We have

$x = \frac{ - 13± \sqrt{ {13}^{2} - 4(5)( - 6) } }{2(5)}$

$x = \frac{ - 13± \sqrt{169 + 120} }{10}$

$x = \frac{ - 13± \sqrt{289} }{10}$

$x = \frac{ - 13±17}{10}$

$x = \frac{ - 13 + 17}{10} \: \: \: \: \: or \: \: \: \: x = \frac{ - 13 - 17}{10}$

x = 2/5 or x = - 3

2).

3x² + 5x + 1 = 0

a = 3 , b = 5 , c = 1

$x = \frac{ -5 ± \sqrt{ {5}^{2} - 4(3)(1)} }{2(3)}$

$x = \frac{ - 5± \sqrt{25 - 12} }{6}$

$x = \frac{ - 5± \sqrt{13} }{6}$

$x = \frac{ - 5 + \sqrt{13} }{6} \: \: \: \: or \: \: \: x = \frac{ - 5 - \sqrt{13} }{6}$

Hope this helps you