Answer:
Different Types of Equations
Some of the lists of math equations involved in algebra are
- Quadratic Equation
- Linear Equation
- Radical Equation
- Exponential Equation
- Rational Equation
Each term involved in the linear equation is either a constant or single variable or a product of a constant. The general form of linear equations with two variables is given by
Y = mx + c ,m≠0
Where m is the slope
C is the point on which it cut y-axis
Example : Linear equation with one variable : 10x – 80 = 0
Linear equations with two variables : 9x + 6y – 82 =0
Quadratic Equations
The quadratic equation is a second-order equation in which any one of the variable contains an exponent of 2. The general form of the quadratic equation is
ax2+bx+c = 0, a≠0
Example : 5x2 – 5y -35=0
Here a = 5, b=-5 and c=-35
Radical Equations
In a radical equation, a variable is lying inside a square root symbol or you can say that the maximum exponent on a variable is ½
Example : a−−√+10=26
Exponential Equations
In this math equations, it contains the variables in place of exponents. By using the property, an exponential equation can be solved. ax=ay⇒x=y
Example : 8x = 32
The above equation is equivalent to 8x = 84.
Rational Equations
A rational math equations involves the rational expressions
Example : y2=y+24
Math Equations Example
Math Equations ExampleQuestion 1 :
Find the solution for the given equation and check the answer
4x – 7 (2-x) = 3x + 2
Solution :
Given : 4x – 7 (2-x) = 3x + 2
Simplify the left side of equation within the bracket
4x – 14 + 7x = 3x + 2
11x – 14 = 3x + 2
Now, bring all the ‘x’ terms on one side and constant term on other side
11x-3x = 14 + 2
8x = 16
X = 16/8
X = 2
Therefore, the solution for the given equation 4x – 7 (2-x) = 3x + 2 is 2
Verification :
Substitute x = 2 in the equation.
4x – 7 (2-x) = 3x + 2
4(2) – 7 (2-2) = 3(2) + 2
8 – 7(0) = 6 + 2
8 = 8
Step-by-step explanation:
Correct me if im wrong
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