x^2+2×under root 3x - 24
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Heya !!!
X² + 2✓3 X - 24
We try to split + 2✓3 X into two parts whose sum is 2✓3 and product 24.
Clearly,
4✓3 + (-2✓3) = 2✓3
And,
4✓3 × -2✓3 = -24
Therefore,
X² + 2✓3 X - 24
=> X² + 4✓3X - 2✓3X - 24
=> X ( X + 4✓4) - 2✓3 ( X + 4✓3)
=> ( X + 4✓3) ( X - 2✓3) = 0
=> ( X + 4✓3) = 0 OR ( X - 2✓3) = 0
=> X = -4✓3 OR X = 2✓3
HENCE,
-4✓3 AND 2✓3 ARE TWO ZEROES OF THE GIVEN QUADRATIC POLYNOMIAL.
★ HOPE IT WILL HELP YOU ★
X² + 2✓3 X - 24
We try to split + 2✓3 X into two parts whose sum is 2✓3 and product 24.
Clearly,
4✓3 + (-2✓3) = 2✓3
And,
4✓3 × -2✓3 = -24
Therefore,
X² + 2✓3 X - 24
=> X² + 4✓3X - 2✓3X - 24
=> X ( X + 4✓4) - 2✓3 ( X + 4✓3)
=> ( X + 4✓3) ( X - 2✓3) = 0
=> ( X + 4✓3) = 0 OR ( X - 2✓3) = 0
=> X = -4✓3 OR X = 2✓3
HENCE,
-4✓3 AND 2✓3 ARE TWO ZEROES OF THE GIVEN QUADRATIC POLYNOMIAL.
★ HOPE IT WILL HELP YOU ★
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