Respuesta :
Answer: C.
Step-by-step explanation:
The 2 in the numerator should be –2.
In the queston given, we have a quadratic equation which we are asked to solve only with quadratic formula. The solution of the equation are 1 and 3/2
Data;
- a = -2
- b = 5
- c = -3
What is Quadratic formula?
Quadratic formula is used to solve quadratic equations and it is given as
[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]
Let's substitute the values and solve the quadratic equation.
[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\x = \frac{-5 +- \sqrt{5^2 - 4*(-2)*(-3)} }{2*(-2)} \\x = \frac{-5+-\sqrt{25-24} }{-4} \\x = \frac{-5+- \sqrt{1} }{-4} \\x = \frac{-5+1}{-4} \\x= \frac{-4}{-4} = 1\\or\\x = \frac{-5-1}{-4} \\x = \frac{3}{2}[/tex]
From the calculations above, the solutions to this equation are 1 or 3/2
Learn more on quadratic formula here;
https://brainly.com/question/8649555
