2x²+3x+y² middle factorise this
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Step-by-step explanation:
2x² - xy - y² + 3x + 2y - 3 = 0. ...(1)
x² - 3x + 2 = 0. ...(2)
From equation (2),
x² - 3x + 2 = 0
or, x² - 2x - x + 2 = 0
or,. ( x - 2) ( x - 1 ) = 0
So, values of x are
x = 1, 2.
On putting the values of x in equation(1), we get
For x = 1, the value of y is
2(1)² - (1)y - y² + 3(1) + 2y - 3 = 0
- y² + y + 2 = 0
or,
y² - y - 2 = 0
y = (1±3)/2
On taking +ve sign,
y = 2
On -ve sign,
y = -1.
And for x = 2, the value of y is
2(4) - 2y - y² + 3(2) + 2y - 3 = 0
8 - y² + 6 - 3 = 0
or, y² = 11
or, y = ±√11
So, the values of x&y are
x = 1. y = -1, 2.
x = 2. y = ±√11
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