| 1. |
If 2/5x-2=5-3/5x then find the value of x. |
|
Answer» Answer: Step-by-step explanation: To FIND x = ? when, |x2+3x+5|+x2+3x+5=0−−−−−−−(1)|x2+3x+5|+x2+3x+5=0−−−−−−−(1) Let, x2+3x+5=φx2+3x+5=φ Now, (1)(1)becomes, |φ|+φ=0|φ|+φ=0 We know that, |φ|=±φ|φ|=±φ This means, we have two scenarios, −φ+φ=0−−−−−−−−−−−−−−(2)−φ+φ=0−−−−−−−−−−−−−−(2) and, φ+φ=0−−−−−−−−−−−−−−−(3)φ+φ=0−−−−−−−−−−−−−−−(3) Now, Equation (2) gives, φ=φφ=φ This is rather insignificant. Equation (3) gives, 2φ=02φ=0 ⟹φ=0———————————−(4)⟹φ=0———————————−(4) Thus, x2+3x+5=0x2+3x+5=0from(4) Now, using the Quadratic FORMULA, x=−b±b2−4ac√2ax=−b±b2−4ac2a Here, a = 1, b = 3 and C = 5, substituting the VALUES we will get −3±i11√2 Hope it's help you Please MARK me in brain list answer |
|