Answered

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What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x?

Discriminant = b2 – 4ac

–8
4
8
16d.

Sagot :

piyush933

Answer:

To find the value of the discriminant for the quadratic equation \(-3 = -x^2 + 2x\), we first need to rewrite the equation in the standard form \(ax^2 + bx + c = 0\).

Starting with:

\[ -3 = -x^2 + 2x \]

Rearrange it to the standard form:

\[ -x^2 + 2x + 3 = 0 \]

Now, identify the coefficients:

\[ a = -1, \quad b = 2, \quad c = 3 \]

The formula for the discriminant (\(\Delta\)) is:

\[ \Delta = b^2 - 4ac \]

Plug in the values of \(a\), \(b\), and \(c\):

\[ \Delta = (2)^2 - 4(-1)(3) \]

\[ \Delta = 4 + 12 \]

\[ \Delta = 16 \]

So, the value of the discriminant is:

\[ 16 \]

Therefore, the correct answer is 16.

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