Question

Can you find X? Smallest answer first 9x²=-3x+2

Answer 1

$9 {x}^{2} + 3x - 2 = 0 \\ 9 {x}^{2} + 6x - 3x - 2 = 0 \\ 3x(3x + 2) - 1(3x + 2) = 0 \\ 3x - 1 = 0 \: \: 3x + 2 = 0$

X=1/3, x=-2/3

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Answer 2

Answer:

x = –2/3 , 1/3

Solution:

We have ;

9x² = -3x + 2

The given equation can be rewritten as ;

9x² + 3x - 2 = 0

Now,

Let's solve this equation using factorisation by middle term splitting method.

• Split the middle term of the equation in such a way that theirs product is equal to the product of 1st term and last term .

Thus,

The equation can be further written as ;

=> 9x² + 6x - 3x - 2 = 0

=> 3x(3x + 2) - (3x + 2) = 0

=> (3x + 2)(3x - 1) = 0

=> 3x + 2 = 0 OR 3x - 1 = 0

=> 3x = - 2 OR 3x = 1

=> x = - 2/3 OR x = 1/3

Hence,

The required values of x are (–2/3) and (1/3) .