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katrin2010 [14]
2 years ago
14

Find the value of x in the equation below. 48 = 6x

Mathematics
1 answer:
Akimi4 [234]2 years ago
7 0

Answer:

x=8

Step-by-step explanation:

This is a simple one-step algebraic equation. In algebra, to find x you must isolate the variable. To do this, use the property of equality. This property states that an equation is still true if you do the same thing to both sides. For example, the equation would still be true if you added 1 to both sides.

To isolate x divide both sides by 6. This equals 48/6 = 6x/6. Which simplifies to 8=x.

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The Function having highest Degree of Four given here is :

        f(x) = x^4 - 2 x^3 - 9 x^2 + 2x + 8?

As the given function has highest degree of four, it has maximum of four roots.

As complex and Irrational root occur in pairs, so There are many possibilities

1. Two Complex or Irrational + Two Real

2. Four real roots

3.All roots are complex or irrational

By looking at the options described below, it means it has four real roots.

It will cut X axis at four points.

With the help of Desmos you can directly find the solution of this problem, but without desmos Graphing, we first have to check by Taking different points on the curve whether graph of function described here is correct or not, i.e by method of increasing and decreasing formula of a function.The method to check is

If there are two points on the curve i.e (x_{1},y_{1}), (x_{2},y_{2}

1.  If ,x_{2} > x_{1} and y_{2} >y_{1}  Increasing Function.

2.  If ,x_{2} > x_{1} and y_{2}  Decreasing Function.

Option (4) is true .


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