Question

solve the equation using factorisation method

9/2x=5+xsqaure​

Answer 1

Given:

9/2x=5+x^2

To Solve:

The equation through factorization method.

Solution:

Given that 9x/2 = 5 + x²

Multiplying both sides by 2, we get:

9x = 10  + 2x²

2x² -9x + 10 = 0

Let a and b be the roots of the equation.

Here product of a and b .

ab = 20

Sum of products, a + b = 9

Therefore We can split - 9 as -5 -4 .

Product of - 5 and - 4 is 20.

Hence,

• 2x² -4x -5x +10 = 0
• 2x(x - 2) -5(x -2) = 0
• (2x - 5 )(x -2) = 0
• x =5/2 and x =2  are the solutions.

Solutions of 9/2x=5+x^2 ,

through factorisation method is x =5/2 and

x =2.

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