In writing a quadratic equation of the form x^{2} +bx+c = 0 a student writes the coefficient of x incorrectly and find the roots as 7 and 8. Another student makes mistake in writing the constant term and gets roots 8 and -3. Find the correct quadratic equation.
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The first student wrote as :
x² - (7+8) x + 7*8 = 0 so he found answers as 7 and 8.
Since he wrote constant term correctly, it means c = 56.
Another student wrote it as : x² - (8-3) x - 3 * 8 = 0
Since he wrote the coefficient of x correctly, it means b = - 5
The correct quadratic equation is x² - 5 x + 56 = 0
x² - (7+8) x + 7*8 = 0 so he found answers as 7 and 8.
Since he wrote constant term correctly, it means c = 56.
Another student wrote it as : x² - (8-3) x - 3 * 8 = 0
Since he wrote the coefficient of x correctly, it means b = - 5
The correct quadratic equation is x² - 5 x + 56 = 0
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