Answer:
The solutions are -1 and 2/5
Explanation:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
5x² + 3x - 2 = 0
By comparison:
a = 5
b = 3
c = -2
Now, to get the roots (solutions) of the equation, we will need to use the quadratic formula shown in the attached image
Substituting in the equation, we would find that:
either x = [tex] \frac{-3+ \sqrt{(3)^2-4(5)(-2)} }{2(5)} = \frac{2}{5} [/tex]
or x = [tex] \frac{-3- \sqrt{(3)^2-4(5)(-2)} }{2(5)} = -1 [/tex]
Hope this helps :)
