Solve the Following Quadratic Equation for x:4√3×2+5x−2√3=0
By BYJU'S Exam Prep
Updated on: October 17th, 2023
Solve the following quadratic equation for x:4√3x2+5x−2√3=0
To find the solution of the given quadratic equation, we will have to find the zeros. To find the zeros, we can either use the quadratci formula or factoriz the given equation which easier for this equation.
To solve, we will factorizee the middle term and then on finding the common term we can easily find the zeros of the equation.
Table of content
Solve the Following Quadratic Equation for x:4√3x2+5x−2√3=0
Solution:
To solve the equation, we can factorize it as follows:
4√3x^2 + 8x – 3x – 2√3 = 0
4x(√3x + 2) – √3(√3x + 2) = 0
(4x – √3)(√3x + 2) = 0
Therefore, the solutions to the equation are:
4x – √3 = 0 => x = √3/4
√3x + 2 = 0 => x = -2√3
So the solutions are x = √3/4 or x = -2√3.
Answer:
Solution of the Following Quadratic Equation for x:4√3×2+5x−2√3=0 are x = √3/4 or x = -2√3
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