Compare the steps to solve a quadratic equation to those of solving a linear equation. How are the steps similar? How are they different?

A linear equation in two variables doesn't involve any power higher than one for either variable. It has the general form Ax + By + C = 0, where A, B and C are constants. It's possible to simplify this to y = mx + b, where m = ( −A / B) and b is the value of y when x = 0. A quadratic equation, on the other hand, involves one of the variables raised to the second power. It has the general form y = ax2 + bx + c. Apart from the adding complexity of solving a quadratic equation compared to a linear one, the two equations produce different types of graphs.

A linear equation produces a straight line when you graph it. Each value of x produces one and only one value of y, so the relationship between them is said to be one-to-one. When you graph a quadratic equation, you produce a parabola that begins at a single point, called the vertex, and extends upward or downward in the y direction. The relationship between x and y is not one-to-one because for any given value of y except the y-value of the vertex point, there are two values for x.

Linear equations in standard form (Ax + By + C = 0) are easy to convert to convert to slope intercept form (y = mx +b), and in this form, you can immediately identify the slope of the line, which is m, and the point at which the line crosses the y-axis. You can graph the equation easily, because all you need are two points. For example, suppose you have the linear equation y = 12_x_ + 5. Choose two values for x, say 1 and 4, and you immediately get the values 17 and 53 for y. Plot the two points (1, 17) and (4, 53), draw a line through them, and you're done.

Step-by-step explanation:

Read above.

me! what did you put for this question?

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0