Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT 2023Paper 2
Exam
BITSAT
Year
2023
Paper
Paper 2
Subject
Mathematics
Chapter
Quadratic Equation

BITSAT 2023 · Paper 2 · Mathematics · Quadratic Equation

Solve 5 x^2+x+ 5 =0

Solve 5x2+x+5=0\sqrt{5} x^2+x+\sqrt{5}=0

Options

  1. A±195i\pm \frac{\sqrt{19}}{5} \mathrm{i}
  2. B±19i2\pm \frac{\sqrt{19} i}{2}
  3. C−1±19i25\frac{-1 \pm \sqrt{19} i}{2 \sqrt{5}}
  4. D−1±19i5\frac{-1 \pm \sqrt{19} \mathrm{i}}{\sqrt{5}}

Correct answer

C. −1±19i25\frac{-1 \pm \sqrt{19} i}{2 \sqrt{5}}

Step-by-step solution

Here, b2−4ac=12−4×5×5=1−20=−19\mathrm{b}^2-4 \mathrm{ac}=1^2-4 \times \sqrt{5} \times \sqrt{5}=1-20=-19
Therefore, the solutions are
−1±−1925=−1±19i25\frac{-1 \pm \sqrt{-19}}{2 \sqrt{5}}=\frac{-1 \pm \sqrt{19 i}}{2 \sqrt{5}}
Practice Quadratic Equation on Quantrex Academy →

More from Quadratic Equation

Roots of the equation x^2+b x-c=0(b, c>0) are BITSAT 2024Rational roots of the equation 2 x^4+x^3-11 x^2+x+2=0 are BITSAT 2024If 15^ ^ ∘ and 30^ ^ ∘ are the roots of the equation x^2+p x+q=0 , then p q= BITSAT 2024The roots of the given equation (p-q) x^2+(q-r) x+(r-p)=0 are : BITSAT 2023The roots of the given equation (p-q) x^2+(q-r) x+(r-p)=0 are : BITSAT 2023The range of the function f(x)= 3 x^2-4 x+5 is BITSAT 2023Solution of 2^x+2^ |x| ≥ 2 2 is BITSAT 2023If one root of the equation x^2+p x+12=0 is 4, while the equation x^2+p x+q=0 . has equal… BITSAT 2023If α be a root of the equation 4 x^2+2 x-1=0 , then the other root of the equation is BITSAT 2022Let a, b be the solutions of x^2+p x+1=0 and c, d be the solution of x^2+q x+1=0 . If… BITSAT 2022Find the value of a such that the sum of the squares of the roots of the equation x^ 2… BITSAT 2021The number of real solutions of the equation (x-1)^ 2 +(x-2)^ 2 +(x-3)^ 2 =0 is BITSAT 2020In the real number system, the equation x + 3 - 4 x - 1 + x + 8 - 6 x - 1 = 1 has BITSAT 2019Let p and q be roots of the equation x^ 2 - 2x + A = 0 and let r and s be the roots of… BITSAT 2019If x, y, z ∈ ℝ, x + y + z = 5, x^ 2 + y^ 2 + z^ 2 = 9 , then length of interval in which… BITSAT 2019For the equation 3x^ 2 + px + 3 = 0, p > 0 , if one of the roots is square of the other… BITSAT 2017 Full Quadratic Equation list Quadratic Equation JEE Maths PYQsJEE Mathematics PYQs All BITSAT PYQs