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2 years ago

What times what equals -72 but also adds up to -1. Factor quadratic expressions

Mathematics

1 answer:

vichka [17]2 years ago

4 0

Answer: 8 and -9

Step-by-step explanation: Let x be the first number we are looking for and y the second number.

We know that x*y=-72

Also we know that x+y=-1 from this x=-1-y

Subtitue x to the first equation to get:

(-1-y)*y=-72

-y^2-y=-72

0=y^2 +y -72

To solve it with factor method we use that 72=8*9 and 9-8=1

y^2+y-72= (y-8)(y+9)=0

Thus y=8 or y=-9

x=-1-y from above

Thus x=-9 or x=8

Lets check if y=8 and x=-9 than 8*-9=-72 and 8+(-9)=-1

The same is true for the above pair as it is the same solution just x and y switched.

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