Respuesta :
There is no real solution
What is a quadratic equation?
An equation whose highest degree is 2 is called a quadratic equation.
How to solve a quadratic equation?
We can solve a quadratic equation by two ways:
- Factorization- If the quadratic expression is factorizable then we can factorize it and equate it to 0. Then we can apply the concept that when product of two or more expressions is 0 then at least one of the expression or both must be 0
- By Shreedhar Acharya formula- A quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] can be solved by the formula given below:
[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex] or
[tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]
The given problem can be solved by the Shreedhar Acharya formula :
[tex]3x^{2} -x+4=0[/tex]
- Comparing it to the standard equation [tex]ax^{2} +bx+c=0[/tex], we can write,
a=3
b=-1
c=4
⇒[tex]x=\frac{-(-1)+\sqrt{(-1)^{2}-4(3)(4)} }{2(3)}[/tex]
or [tex]x=\frac{-(-1)-\sqrt{(-1)^{2}-4(3)(4)} }{2(3)}[/tex]
- Here, there is no real solution because a negative term is coming under square root.
- There are imaginary solutions for this equation
You can get more solutions on: https://brainly.com/question/1214333
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