Question

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यदि x + px -30 = (x -5) (x + 6) यदि तो p का मान है -​

Answer 1

We have,

${x}^{2} + px - 30 = (x - 5)(x - 6)$


Solving RHS,

${x}^{2} - 6x - 5x + 30 \\ \\ = {x}^{2} - 11x + 30$

Now equating the values,

${x}^{2} + px - 30 = {x}^{2} - 11x +30 \\ \\ px = - 11x \\ \\ p = - 11$

Therefore, p= -11