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If ax^2 + bx + c = 0 is satisfied by eve...

If `ax^2 + bx + c = 0` is satisfied by every real value of x, then

Text Solution

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Let `y = ax^2+bx+c`
So, with the given equation,`ax^2+bx+c = 0`
`y = 0`
If we draw this, it will be a straight line along `X`-axis. It means, ` c = 0`
For, any real value of `x`,
`ax^2+bx` will be `0`, only when `a = b = 0`
So, `a = b = c = 0`
...
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