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If in a quadratic equation ax ^(2) + bx ...

If in a quadratic equation `ax ^(2) + bx + c =0,` value of a is zero then it become a `"________"` equation.

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To solve the question, we need to analyze what happens to the quadratic equation when the coefficient of \(x^2\) (which is \(a\)) is set to zero. ### Step-by-step Solution: 1. **Identify the Quadratic Equation**: The standard form of a quadratic equation is given by: \[ ax^2 + bx + c = 0 \] where \(a\), \(b\), and \(c\) are constants. 2. **Set the Value of \(a\) to Zero**: According to the question, we set \(a = 0\). This changes the equation to: \[ 0 \cdot x^2 + bx + c = 0 \] which simplifies to: \[ bx + c = 0 \] 3. **Recognize the New Form of the Equation**: The equation \(bx + c = 0\) is a first-degree equation in \(x\). It no longer contains the \(x^2\) term because \(a\) is zero. 4. **Conclusion**: Since the equation is now of the first degree, it is classified as a linear equation. ### Final Answer: If the value of \(a\) is zero in the quadratic equation \(ax^2 + bx + c = 0\), it becomes a **linear equation**. ---
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