Math, asked by tanishakhandel, 1 year ago

The product of 4 consecutive natural number is 5040 find the number

Answers

Answered by kunalwadhwani
7
Let the four consecutive numbers be x, x+1, x+2, x+3

x * x+1 * x+2 * x+3 = 5040

x *x+3 * x+1 * x+2 = 5040

x2+3x * x2+ 3x + 2 = 5040

substitute x2+3x = m

m * m+2= 5040

m2+ 2m = 5040

m2+ 2m -5040 = 0

factorize and then you will get two values of msubstitute those values i.e. m= x2+3xthen solve again by any method of solving quadratic equationswhen you get the value of x, find the value of the other numbers.
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