Question

The product of two consecutive number is 30. Form and solve an equation to find the value of the integers

Answer 1

Answer:

5 and 6; -5 and -6

Step-by-step explanation:

Let the smaller integer be x.

The greater consecutive integer is x + 1.

x * (x + 1) = 30

x^2 + x - 30 = 0

(x - 5)(x + 6) = 0

x - 5 = 0 or x + 6 = 0

x = 5 or x = -6

For x = 5, then x + 1 = 5 + 1 = 6.

For x = -6, then x + 1 = -6 + 1 = -5

Answer: 5 and 6; -5 and -6

Answer 2

Answer:

$5, 6\\-5,-6$

Step-by-step explanation:

Let the first number be $x$.

Let the second number be $x+1$

Their product equals to 30.

$x \times (x+1)=30$

$x^2 + x=30$

$x^2+x-30=0$

$(x-5)(x+6)=0$

$x-5=0\\x=5$

$x+6=0\\x=-6$