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Zacharias is using the quadratic formula to solve the equation 0 = –2x2 + 5x – 3. He begins by substituting as shown.

Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction
Substitution:
What error did Zacharias make?

The –5 should be 5.
The 52 should be –52.
The 2 in the numerator should be –2.
The 2 in the denominator should be –2.


Sagot :

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

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