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प्रश्न
Two roots of quadratic equation is given ; frame the equation.
0 and 7
उत्तर
0 and 7
Sum of roots = 0 + 7 = 7
Product of roots = \[0 \times 7 = 0\]
The general form of the quadratic equation is \[x^2 - \left( \text{ Sum of roots } \right)x + \text{ product of roots } = 0\]
So, the quadratic equation will be \[x^2 - 7x + 0 = 0\]
\[ \Rightarrow x^2 - 7x = 0\]
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संबंधित प्रश्न
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If 2 and 5 are the roots of the quadratic equation, then complete the following activity to form quadratic equation:
Activity:
Let α = 2 and β = 5 are the roots of the quadratic equation.
Then quadratic equation is:
x2 − (α + β)x + αβ = 0
∴ `x^2 - (2 + square)x + square xx 5 = 0`
∴ `x^2 - square x + square = 0`
