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Solve Equations An equations is a combination of one or more terms separated with equal symbol "=". Terms can be numerical, alphanumerical, expression etc. Different type of equations. 1.) Equations which have solution: In these types of equation we can find the value of variable like a, b, c. Examples: a.) 5x + y = 12 , 7x - 2y = 21 b.) 2a - 3b = 6 , 5a + b = 10 After solving these two equation we will get the value of x and y. 2.) Equation without solution: An equation which have no solution. Means we cannot find the value of variable.
0 = -2, 0 = 12 ,7=8 Examples: a.) 5a + 4 -7a = 6a +7 - 8a - 5 Step:1. 4 + 5a - 7a = 6a – 8a + 7 - 5 Step:2. 4 - 2a = -2a + 2 Step:3. 2a – 2a = 2 - 4 Step: 4. 0 = -2 Example b.) 7x - 6 = 7x + 6. Step:1. 7x - 7x = 6 + 6 Step:2. 0 = 12 etc. For equations with solution, we can solve the equation by the following method. 1)Elimination method 2)Substitution method 3) Graphing method.
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4.) Trial and error method. 5.) Taylor method. 6.) Numerical Method 7.) Solving Equations usingInverse Functions Types of Equation: An equation play a very important role in the mathematics. We are solving many problems with the help of equation. There are manytypes of equations. 1.) Linear equation : A linear equation is very similar to analgebraic equation of the from y = mx + b. Where m is slope , And b is y-intercept. Example : a) y = 8x - 9 b) y = - x - 13. 2.) Radical equation: Radical equation is an equation which has the fractional exponent over variables. Fractional exponent is the another way to representthe radicals or roots
Example : a) $\sqrt{x}$ + 15 = 32. b) $\sqrt{x^2 - 5}$ + x - 7 = 4 3.) Constant equation: The equation which variable value cannot be change is known as Constant equation. Examples : a) x - 4 = 0 b) 6p+ 8 = 7. 4.) Quadratic equation: An equation which has one or more terms but the highest degree is two is known asquadratic equation, The standard from of this equation is ax2 + bx + c =0. Examples: a) 4x2 + 6x - 5 = 0. b) 4y2 + 44y + 8 =0. c) 5a2 - 5a = 12
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