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The discriminant of ax^2+ bx + c = 0 is defined as? A. 2a B. Square root b^r -4ac

The Discriminant Of Ax2 Bx C 0 Is Defined As A 2a B Square Root Br 4ac class=
The Discriminant Of Ax2 Bx C 0 Is Defined As A 2a B Square Root Br 4ac class=

Sagot :

For the general quadratic equation:

[tex]ax^2+bx+c=0[/tex]

the solutions are given by the quadractic formula

[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]

The discriminant tells you how many possible solutions a particular quadratic equation has and is given by the term into the square root:

[tex]b^2-4ac[/tex]

If the discriminant is negative, the quadratic equation has no real solutions because the square root of negative numbers is not defined (yet)

The real solutions correspond to the x-intercepts of a given graph. Then, the answer is: x-intercepts. That is because the equation

[tex]ax^2+bx+c=0[/tex]

is the same as

[tex]y=0[/tex]

that is, the solutions are the x-values where y is equal to zero, which are the x-intercepts.

In other words, they are the locations where the function crosses or touches the x-axis

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