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The pattern of the first line series is obtained as, -3, ( -3 + 1 ) × 5, ( -10 + 2 ) × 5, ( -40 + 3 ) × 5, ( - 185 + 4 ) × 5, ( - 905 + 5 ) × 5 Completing the next series as, -4, a = ( -4 + 1 ) × 5, b = ( -15 + 2 ) × 5, c = ( -65 + 3 ) × 5, d = ( -310 + 4 ) × 5 Value of d = - 1530
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?