Find the number of real solutions

This is a good question for many competitive exams which may seem easy at first but if you do not know the correct approach for this then you may not be able to solve it. This question can also come in maths Olympiads as well.

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The problem discussed in the video: Find the number of real solutions of 2^(3x^2 -7x +4 ) =1

The solution to the problem: Follow the following steps,

1. In RHS instead of 1 we can write 2^0.
2. Since the base is same in both sides the exponents must be equal.
3. Now we have a quadratic equation in x
4. If we will find the discriminant then we can find the number of real solutions.
5. Since the value of the discriminant is greater than zero, number of real solutions is equal to 2.
6.Answer : 2

Topics discussed in this video :

1. What is a quadratic equation.
2. What is discriminant of a quadratic equation
3. How to check the number of real solutions with the help of the discriminant.

lectures on properties of the triangle:

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[nischaysharma]

Add a video on how to solve quadratic equations using vieta's formula🙏

[AceInAcademy]

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[srivastavaandapexclasses]

It is easy question bhaiya but thanks for revision of concepts... Thanks a lot
And a happy learning with you 😉😁😁🙂😊

[ravipathak]

Which is easier way to solve a quadratic discriminant or middle term??