How many roots does a linear equation have?

Mathematics

2 answers:

Tanya [424]2 years ago

6 0

Answer:

A quadratic equation with real coefficients can have either one or two distinct real roots, or two distinct complex roots. In this case the discriminant determines the number and nature of the roots. There are three cases: If the discriminant is positive, then there are two distinct roots.

Step-by-step explanation:

A degree 2 polynomial (a quadratic) has 2 roots. A linear equation in the form y = mx + b is degree 1, since this is and has one root. A linear equation in the form y = c is degree 0, since this is and has zero roots.

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Evgesh-ka [11]2 years ago

3 0

Answer:

Step-by-step explanation:

A linear equation (degree 1) will have one root. A quadratic equation (degree 2) will have two roots. A cubic equation (degree 3) will have three roots. An nth degree polynomial equation will have n roots.

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Solution

Question 1:

- Use of the area of squares to explain the Pythagoras theorem is given below

- The 3 squares given above have dimensions: a, b, and c.

- The areas of the squares are given by:

$\begin{gathered} \text{For square of length }a\to a^2 \\ \text{For square of length }b\to b^2 \\ \text{For square of length }c\to c^2 \end{gathered}$

- The Pythagoras theorem states that:

"The sum of the areas of the smaller squares add up to the area of the biggest square"

Thus, we have: