Zeros of a Quadratic Math Example 1

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Example 1

easy
Find the zeros of f(x)=x2−7x+10f(x) = x^2 - 7x + 10.

Solution

  1. 1
    Set f(x)=0f(x) = 0: x2−7x+10=0x^2 - 7x + 10 = 0.
  2. 2
    Factor: (x−2)(x−5)=0(x - 2)(x - 5) = 0.
  3. 3
    Zeros: x=2x = 2 and x=5x = 5.

Answer

x=2 and x=5x = 2 \text{ and } x = 5
The zeros of a function are the xx-values where f(x)=0f(x) = 0. They correspond to the xx-intercepts of the graph.

About Zeros of a Quadratic

The zeros (or roots) of a quadratic function f(x)=ax2+bx+cf(x) = ax^2 + bx + c are the values of xx where f(x)=0f(x) = 0. Graphically, they are the xx-intercepts of the parabola.

Learn more about Zeros of a Quadratic →

More Zeros of a Quadratic Examples

Example 2 medium

Find the zeros of [formula].

Example 3 easy

Find the zeros of [formula].

Example 4 hard

How many zeros does [formula] have over the reals?

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