Question
A number exceeds its square root by 30. What is the
number?Solution
ATQ,
Let the number be 'x'.
So, x - √x = 30
On squaring both sides, we get:
(x - √x)² = 30²
⇒ x² + x - 2x√x = 900
Now, let’s simplify:
(x - 30)² = x
⇒ x² - 60x + 900 = x
⇒ x² - 61x + 900 = 0
⇒ x² - 25x - 36x + 900 = 0
⇒ x(x - 25) - 36(x - 25) = 0
⇒ (x - 36)(x - 25) = 0
So, x = 36 or x = 25
Only x = 36 satisfies the original equation
Hence, the number is 36
Under Section 18 of the BNS, 2023, a surgeon, Dr. A, performs a complex cardiac surgery on patient B. During the procedure, despite exercising all stand...
Which one of the following provision of Indian Penal Code relates to "Criminal Force"?Â
How many appeals are provided under CPC?
In executing a sentence of solitary confinement, such confinement shall in no Case exceed:
Which of the following statements best summarizes the scope of principles of natural justice?Â
If Judgment Debtor obstructs delivery of possession of property______?
A firm shall___________ for wrongful acts of a partner.
Which of the following legal systems is based on judicial precedent?
Which section of SARFAESI Act deals with measures of Asset Reconstruction?
In the absence of any provision by contract between the partners for the duration or determination of their partnership, what type of partnership is it?
