Question
If (x 2 = 10x – 25), then find the value of
[x³ + (x⁴/25)][7 - x³]Solution
x² = 10x - 25
⇒ x² - 10x + 25 = 0
⇒ (x - 5)² = 0
⇒ x = 5
Required value = [5³ + (5⁴/25)] × [7 - 5³]
= (125 + 25) × (-118)
= 150 × (-118) = -17700
`sqrt(sqrt(10+sqrt(10+sqrt(10)) ... prop)` = ?
{(21/20) + (20/21)}2 - {(21/20) - (20/21)}2 = ?
If √f + (1/√f) = 5, then find the value of f + (1/f).
You are provided with three sequences below. Determine the values of P, Q, and R, and then identify the relationship among them.<...
If x2 – 5x + 1 = 0, then find the value of {x2 + (1/x2)}.
If the 14th term of an arithmetic series is 6 and 6th term is 14, then what is the 95th term?
If (Ax + By - Cz) 2 = 4x 2 + 3y 2 + 2z 2 + 4√3xy - 2√6yz - 4√2xz, then find the value of A
(15 x 15 x 15 + 8 x 8 x 8)/(15 x 15 -15 x 8 + 8 x 8) = ?
In △ ABC, AB = AC. A circle drawn through B touches AC at D and intersect AB at P. If D is the midpoint of AC and AP = 2.5 cm, then AB is equal to:
Three mixtures: A, B, and C containing 25%, 35%, and X% of water, respectively. If all these mixtures are mixed in the ratio of 1:3:2 to form a resultan...