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Ø The Norwegian Academy of Science and Letters has awarded the Abel prize for the year 2022 to American Mathematician Dennis Parnell Sullivan, who is with the Graduate School and University Center of the City University of New York and the State University of New York at Stony Brook. Ø The award has been given, “For his groundbreaking contributions to topology in its broadest sense, and in particular its algebraic, geometric and dynamical aspects.”
I. x2 – 12x + 32 = 0
II. y2 + y - 20 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 24x + 135 = 0
Equation 2: y² - 26y + 153 = 0
I. 3x² - 22x + 40 = 0
II. 2y² - 19y + 44 = 0
I. 4x2 – 53x – 105 = 0
II. 3y2 – 25y + 48 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 2x² - 8x + 6 = 0
Equation 2: y² - 7y + 10 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 17x² - 94x + 120 = 0
Equation 2: 13y² - 45y + 13...
If a quadratic polynomial y = ax2 + bx + c intersects x axis at a and β, then
I. x2 + 91 = 20x
II. 10y2 - 29y + 21 = 0
I. x2 + 11x + 30 = 0
II. y2 + 17y + 72 = 0
If x^2 - 7x + k = 0 has roots that are equal, what is the value of k?