Context: Two root of Quadratic equation are 0 and 7. Frame the eqution
Question
Context: Two root of Quadratic equation are 0 and 7. Frame the eqution
Solution
The roots of a quadratic equation are given by the formula:
x = [-b ± sqrt(b² - 4ac)] / 2a
Given that the roots of the equation are 0 and 7, we can form the equation by using the fact that the product of the roots of a quadratic equation ax² + bx + c = 0 is c/a and the sum of the roots is -b/a.
- The sum of the roots is 0 + 7 = 7.
- The product of the roots is 0 * 7 = 0.
We can set a = 1 for simplicity. Then, the sum of the roots is -b/a, which gives us b = -7. The product of the roots is c/a, which gives us c = 0.
Therefore, the quadratic equation with roots 0 and 7 is:
x² - 7x + 0 = 0
or simplified to:
x² - 7x = 0
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