Question

3X squared plus 2X equals -4 number of solutions

Answer 1

Answer:

The given equation has two solutions i.e  $\frac{-1+\sqrt{13} }{3}$ ,  $\frac{-1-\sqrt{13} }{3}$

Step-by-step explanation:

The given expression as :

3 x² + 2 x - 4

For the quadratic equation in the form of a x² + b x + c , the value of x

x = $\frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

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

Or, x = $\frac{-2\pm \sqrt{4 + 48}}{6}$

or, x = $\frac{-2\pm \sqrt{52}}{6}$

∴ x = $\frac{-1\pm \sqrt{13}}{3}$

Or, x = $\frac{-1+\sqrt{13} }{3}$ ,  $\frac{-1-\sqrt{13} }{3}$

Hence The given equation has two solutions i.e  $\frac{-1+\sqrt{13} }{3}$ ,  $\frac{-1-\sqrt{13} }{3}$  Answer