Simplification of Expression and Linear Equation Explanation | Math Tutorials and Solutions

y=2+√28+4x

To begin, let’s simplify the given expression: y = 2 + √28 + 4x

To begin, let’s simplify the given expression: y = 2 + √28 + 4x.

First, we can simplify the square root of 28. We know that the square root of 28 can be written as √(4 * 7). Since 4 is a perfect square, we can take its square root, which is 2. The square root of 7 is not a perfect square, so we leave it under the square root sign. Therefore, √28 simplifies to 2√7.

Now, we can rewrite the expression as: y = 2 + 2√7 + 4x.

This equation represents a linear equation in terms of x, with a constant term of 2 + 2√7.

A linear equation is an equation of degree 1, which means the highest exponent in the equation is 1. In this case, the term 4x represents a linear term, as it involves x raised to the first power.

The constant term, 2 + 2√7, does not depend on x. It is a fixed value that remains constant regardless of the value of x. In this equation, it represents the y-intercept, which is the value of y when x is equal to 0.

To solve the equation for a particular value of x, you substitute the given value of x into the equation and solve for y. For example, if you have a specific value for x, let’s say x = 3, you can substitute x = 3 into the equation to find the corresponding value of y:

y = 2 + 2√7 + 4(3)
y = 2 + 2√7 + 12
y = 14 + 2√7

Therefore, when x = 3, y would be equal to 14 + 2√7.

I hope this explanation helps! Let me know if you have any further questions.

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