Question

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.

Answer 1

Quadratic formula is the formula which is used to find the roots of a quadratic equation.

The error which Zacharias made is, the 2 in the numerator should be –2. Thus the option 3 is the correct option.

What is quadratic formula?

Quadratic formula is the formula which is used to find the roots of a quadratic equation.

The standard form of the quadratic equation is,

$ax^2+bx+c$

For the above equation the quadratic formula can be given as,

$x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}$

Given information-

The equation given in the problem is-

$0=-2x^2+5x-3$

Rewrite the equation as,

$-2x^2+5x-3=0$

Compare it with the standard form of the quadratic equation, we get,

$a=-2\\b=5\\c=-3$

Put the values in the quadratic formula,

$x=\dfrac{-(5)\pm\sqrt{(-5)^2-4\times(-2)\times(-3)} }{2(-2)}\\x=\dfrac{-5\pm\sqrt{5^2-4\times(-2)\times(-3)} }{2(-2)}$

As the value of b is -5 which is in the power of square. The even power omit the negative sign.

On comparing we can conclude that,

The error which Zacharias made is, the 2 in the numerator should be –2. Thus the option 3 is the correct option.

Learn more about the quadratic formula here;

https://brainly.com/question/1214333

Answer 2

Answer:

C. or 3.

Step-by-step explanation:

The 2 in the numerator should be –2.