two numbers that have a product of -35 and a sum of 2

Answer 1

two numbers that have a product of -35 and a sum of 2

Let A = 1st number and B=2nd number

so....

A*B = -35

A+B = 2

...this is a common 2 equations and 2 unknowns problem type for algebra....

...using substitution method.....we have...

A*B = -35

A+B= 2

substitute one of the values of equation 2 into equation 1...like so...

A * (2-A) = -35

...solve for A.....

2A - A^{2 =} -35.....rearrange......A²-2A-35 = 0.....(A-7)(A+5) = 0 .......A-7 = 0....A+5=0... A = 7 either/or -5

...if A=7, then B = 5......if A = -5, then B = 7....

A = -5 solves both equations CORRECTLY....SO B = 7....-5 and 7 correctly answer the question...