Question
If the quadratic equation x² + 18x + n = 0 has real and
equal roots, what is the value of n?Solution
ATQ,
Discriminant = 0 ⇒ 18² - 4×1×n = 0
⇒ 324 = 4n
⇒ n = 81
Solve for x: |2x − 5| + |x + 1| ≤ 10.
I. 5x2 – 18x + 16 = 0
II. 3y2 – 35y - 52 = 0
I. 5x² -14x + 8 = 0
II. 2y² + 17y + 36 = 0
I. 2x2 - 5x - 33 =0
II. 2y2 + 5y - 25 = 0
Equation 1: x² - 144x + 5184 = 0
Equation 2: y² - 130y + 4225 = 0
I.70x² - 143x + 72 = 0
II. 80 y² - 142y + 63 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 36x + 288 = 0
Equation 2: y² - 36y + 320 = 0
One of the roots of the equation x² – 12x + k = 0 is x = 3. The other root is ___________.
I. 6x2 + 19x + 10 = 0
II. y2 + 10y + 25 = 0
I: x2 - 33x + 242 = 0
II: y2 - 4y - 77 = 0