Question

a. Find three consecutive positive integers such that the product of the first and the third is 29 more than the second.
Part a: Define the variables.
Part b: Set up an equations that can be solved to find the integers.
Part c: Find the integers.

PLEASE HELP ASAP​

Answer 1

Answer:

VARIABLE- In mathematics, a variable is a symbol which works as a placeholder for expression or quantities that may vary or change; is often used to represent the argument of a function or an arbitrary element of a set. In addition to numbers, variables are commonly used to represent vectors, matrices and functions.

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$\sf \: Let \: the \: three \: consecutive \: integers \: be \\ \\ \implies \sf \: x,x + 1,x + 2 \\ \\ \sf \: acq \\ \\ \sf \: \implies x(x + 2) = x + 1 + 29 \\ \\ \implies \sf \: {x}^{2} + 2x = x + 30 \\ \\ \implies \: \sf {x}^{2} + x - 30 = 0 \\ \\ \implies \sf {x}^{2} + 6x - 5x - 30 = 0 \\ \\ \implies \sf \: x(x + 6) - 5(x + 6) = 0 \\ \\ \implies \: \sf \ (x + 6)(x - 5) = 0 \\ \\ \sf \: if \: x - 5 = 0 \\ \\ \implies \: \sf x = 5 \\ \\ \implies \underline{ \boxed{ \purple{ \sf \:ANS : 5,6,7}}}$