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Shivraj Singh Chouhan, is an Indian politician and member of the Bharatiya Janata Party. He was the Chief Minister of Madhya Pradesh from 2020 to 2023 and previously from 2005 to 2018 and a Member of Legislative Assembly in Madhya Pradesh from Budhni since 2006 and previously from 1990 to 1991.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 3x² + 6x - 9 = 0
Equation 2: 2y² - 16y + 32 = 0
I. 3p² - 11p + 10 = 0
II. 2q² + 13q + 21 = 0
I). 5p2 - p - 4 = 0
II). q2 - 12q + 27 = 0
If 3x – 2y = 10 and xy = 11, the value of 27x³ – 8y³ is __________.
Equation 1: x² - 90x + 2025 = 0
Equation 2: y² - 88y + 1936 = 0
If x2 - 3x - 18 = 0 and y2 + 9y + 18 = 0, which of the following is true?
I. 99x² + 161 x + 26 = 0
II. 26 y² + 161 y + 99 = 0
If α, β are the roots of the equation x² – px + q = 0, then the value of α2+β2+2αβ is
...I. y² + y – 56 = 0
II. 2x² + 11 x – 40 = 0
(i) 2x² + 14x - 16 = 0
(ii) y² – y – 12 = 0