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Given the equation x² + px − 10 = 0.

Mathematics

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Question 50:
Given the equation x2+px−10=0x^2 + px - 10 = 0.
The question implies that the roots are given in the options, and we need to find pp. Assuming the roots are 2 and −5-5 (as their product is −10-10, matching the constant term), we can find pp.

For a quadratic equation ax2+bx+c=0ax^2 + bx + c = 0, the sum of the roots is −ba-\frac{b}{a}.
In this equation, a=1a=1, b=pb=p, c=−10c=-10.
Sum of roots =2+(−5)=−3= 2 + (-5) = -3.
From the formula, sum of roots $=

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