In the mathematical field there are a number of properties available to solve the problem related to math subject. We can use different properties to solve problems in math. In the general sense, the properties to solve problems include distributive property, identity of addition, identity of multiplication, inverse of multiplication, associative property, commutative property etc. Here we are going to discuss about the different properties to solve problems.
There are various types of properties, which are elucidated with their explanation in this session. This part helps the students of Grade IX. These properties help to solve maths problems in an efficient manner.
1) Commutative property: a + b + c = c + b + a
2) Distributive property: a(b + c) = ab + ac
3) Associative property: (a + b) + c = a + (b +c)
Let’s show you how to use these properties with solving quadratic equations.
Quadratic equations are those equations which are polynomial equations of the second degree. Here we show you the form of quadratic equation:
ax2 + bx + c = 0
Here x variable is unknown variable, with the constants as a, b and c with a not equal to 0.
Now we show you how to solve the inequalities of quadratic equation. In these we use the different properties of maths to solve problems. ( to know more about central board of secondary education, here)
Example: Solve for x in given expression 2x2 + 4x = x2 – x – 6?
Solution: y = 2x2 + 4x
Y = x2 – x – 6
In that part we perform the operation of simplification by properties to solve problems. Let’s show you below:
2x2 + 4x = x2 – x – 6
2x2 + 4x- x2 + x + 6=0
x2 +5x + 6 =0
Now we perform the factorization of equation to solve it.
x2 +5x + 6 = 0
(x + 2)(x+3) =0
So we can say that:
x = -2 and x = -3
In the next session we will discuss about Units of measurement.
There are various types of properties, which are elucidated with their explanation in this session. This part helps the students of Grade IX. These properties help to solve maths problems in an efficient manner.
1) Commutative property: a + b + c = c + b + a
2) Distributive property: a(b + c) = ab + ac
3) Associative property: (a + b) + c = a + (b +c)
Let’s show you how to use these properties with solving quadratic equations.
Quadratic equations are those equations which are polynomial equations of the second degree. Here we show you the form of quadratic equation:
ax2 + bx + c = 0
Here x variable is unknown variable, with the constants as a, b and c with a not equal to 0.
Now we show you how to solve the inequalities of quadratic equation. In these we use the different properties of maths to solve problems. ( to know more about central board of secondary education, here)
Solution: y = 2x2 + 4x
Y = x2 – x – 6
In that part we perform the operation of simplification by properties to solve problems. Let’s show you below:
2x2 + 4x = x2 – x – 6
2x2 + 4x- x2 + x + 6=0
x2 +5x + 6 =0
Now we perform the factorization of equation to solve it.
x2 +5x + 6 = 0
(x + 2)(x+3) =0
So we can say that:
x = -2 and x = -3
In the next session we will discuss about Units of measurement.
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