Ranika wanted her friend Radhika's mobile number. But Radhika played a...
Decoding Radhika's Mobile Number
To decode Radhika's mobile number using the given equations, we first need to understand the equation she provided: 3x-8/2x=1.
- Solving the Equation
- To solve the equation, we need to isolate the variable x.
- First, we simplify the equation by multiplying both sides by 2x to get rid of the denominator.
- This gives us: 3x * 2x - 8 = 2x
- Simplifying further, we get: 6x^2 - 8 = 2x
- Rearranging the terms, we get a quadratic equation: 6x^2 - 2x - 8 = 0
- Now, we can solve this quadratic equation to find the value(s) of x.
- Quadratic Equation Solution
- Using the quadratic formula: x = [-b ± √(b^2 - 4ac)] / 2a
- Here, a = 6, b = -2, and c = -8.
- Plugging in these values, we get: x = [2 ± √(4 + 192)] / 12
- Simplifying further, we get two possible values for x.
- Decoding Radhika's Number
- Now that we have found the values of x, we can substitute them back into Radhika's mobile number.
- Using the values of x, we can decode the number she provided as: 9XY PQR.
- By substituting the values of x into the respective placeholders, we can determine the actual digits of Radhika's mobile number.
By following the steps outlined above, you should be able to successfully decode Radhika's mobile number using the given equations.
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