Solve the equation. 5x^{2}=2x-3

DofotheroU

DofotheroU

Answered question

2021-09-30

Solve the equation.
5x2=2x3

Answer & Explanation

ensojadasH

ensojadasH

Skilled2021-10-01Added 100 answers

Step 1
Given: 5x2=2x3
For finding solution of given equation, we do transportation then by using quadratic formula find the solution of given equation
So,
5x22x+3=0...(1)
We know that solution of quadratic equation (ax2+bx+c=0) is given by
x=b±b24ac2a...(2)
Step 2
So, by using equation(2) solution of given equation will be
x=(2)±(2)24(5)(3)2(5)
=4±46010
=4±5610
=4±214i10
Hence, solution of given equation is x=4±214i10.

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