9-3 And 9-4: Solving Quadratic Equations By Graphing And By Factoring

1) Solve

5 x squared plus 13 x equals 6

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Explanation

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2) What are the zeros in the function

x squared minus 16 x space plus thin space 55 space equals space y

?

{-11, -5}

{17}s

{5, 11}

The zeros of a function are the values of x for which the function equals zero. In this case, the zeros of the function are 5 and 11, as these are the values of x that make the function equal to zero.

Explanation

The zeros of a function are the values of x for which the function equals zero. In this case, the zeros of the function are 5 and 11, as these are the values of x that make the function equal to zero.

3) Find the x-intercepts in the function

y space equals space x squared minus 15 x plus 56

{7, 8}

{-7, -8}

{-7, 8}

{7, -8}

The x-intercepts of a function are the points where the graph of the function intersects the x-axis. In this case, the x-intercepts are given as {7, 8}. This means that the function crosses the x-axis at the points (7, 0) and (8, 0).

Explanation

The x-intercepts of a function are the points where the graph of the function intersects the x-axis. In this case, the x-intercepts are given as {7, 8}. This means that the function crosses the x-axis at the points (7, 0) and (8, 0).

4) What is the solution of

x squared plus space 64 space equals space 0

-8

8

No Solution

The given equation is -8 = 8, which is not true. Therefore, there is no solution to this equation.

Explanation

The given equation is -8 = 8, which is not true. Therefore, there is no solution to this equation.

5) One root of the quadratic equation whose related function is graphed lies between which consecutive integers?

-4 and -3

0 and 1

-5 and -4

-3 and -2

The correct answer is -4 and -3 because the graph of a quadratic function intersects the x-axis at the x-coordinate(s) of its roots. Since the question states that one root lies between -4 and -3, it means that the graph intersects the x-axis between these two consecutive integers.

Explanation

The correct answer is -4 and -3 because the graph of a quadratic function intersects the x-axis at the x-coordinate(s) of its roots. Since the question states that one root lies between -4 and -3, it means that the graph intersects the x-axis between these two consecutive integers.