
How do you solve ?
Answer
455.7k+ views
Hint: Here given a algebraic equation firstly we have to convert the given equation to the quadratic equation by shifting x from RHS to LHS. Later solve the quadratic equation by using the method of factorisation and find the factors and equate each factor to the zero to get the value of x.
Complete step by step solution:
Factorization means the process of creating a list of factors otherwise in mathematics, factorization or factoring is the decomposition of an object into a product of other objects, or factors, which when multiplied together give the original.
The general form of an equation is when the coefficient of is unity. Every quadratic equation can be expressed as . Here, b is the sum of d and e and c is the product of d and e.
Consider the given expression:
Subtract both side by x, then
On simplification, we get
The above equation similar like a quadratic equation now, solve by the method of factorization.
Now, Break the middle term as the summation of two numbers such that its product is equal to -12. Calculated above such two numbers are -4 and 3.
Making pairs of terms in the above expression
Take out greatest common divisor GCD from the both pairs, then
Take common
Equate the each factor to zero, then
or
Hence, the required solution is or .
Note: The equation is a quadratic equation. This problem can be solved by using the sum product rule. This defines as for the general quadratic equation , the product of and c is equal to the sum of bx of the equation. Hence we obtain the factors. The factors for the equation depend on the degree of the equation.
Complete step by step solution:
Factorization means the process of creating a list of factors otherwise in mathematics, factorization or factoring is the decomposition of an object into a product of other objects, or factors, which when multiplied together give the original.
The general form of an equation is
Consider the given expression:
Subtract both side by x, then
On simplification, we get
The above equation similar like a quadratic equation
Now, Break the middle term as the summation of two numbers such that its product is equal to -12. Calculated above such two numbers are -4 and 3.
Making pairs of terms in the above expression
Take out greatest common divisor GCD from the both pairs, then
Take
Equate the each factor to zero, then
Hence, the required solution is
Note: The equation is a quadratic equation. This problem can be solved by using the sum product rule. This defines as for the general quadratic equation
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