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Igoryamba
2 years ago
12

State the the roots of y=x^2+8x

Mathematics
1 answer:
Likurg_2 [28]2 years ago
8 0

Answer:

The roots of the given equation are x = 0 and x = -8.

General Formulas and Concepts:

<u>Algebra I</u>

Terms/Coefficients

  • Factoring/Expanding

Quadratic Equations

  • Solving quadratic equations

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

y = x² + 8x

<u>Step 2: Find Roots</u>

  1. [Quadratic] Factor:                                                                                          y = x(x + 8)
  2. [Quadratic] Set up [Solve]:                                                                             0 = x(x + 8)
  3. [Quadratic] Define:                                                                                         x = 0, -8

∴ the roots of the quadratic equation y = x² + 8x is equal to 0 and -8.

---

Topic: Algebra I

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Step-by-step explanation:

slope-intercept form: y = mx + b

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To write the equation in y = mx + b form, we need to find the slope(m) and the y-intercept(b) of the equation.

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The slope is 4.

To find the y-intercept, input the values of the slope and one point(in this example I'll use point (1, 18)) into the equation format and solve for b:

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The y-intercept is 14.

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