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3 years ago

An equation has solutions of m=-5 and m=9. Which could be the equation?

Mathematics

2 answers:

Tomtit [17]3 years ago

8 0

Answer:

Equation m² - 4m - 45 = 0.

Step-by-step explanation:

Given : An equation has solutions of m=-5 and m=9.

To find : Which could be the equation.

Solution : We have given solutions m = -5 and m=9.

For, m = -5 .

On adding both sides by 5

m + 5 = 0

For m = 9

On subtracting both sides by 9

m - 9 = 0

Then

( m + 5) ( m -9) = 0.

On distributing m over m-9 and 5 over m - 9 .

m ( m -9) + 5 ( m -9) = 0

m² - 9m + 5m - 45 = 0.

m² - 4m - 45 = 0.

Therefore, Equation m² - 4m - 45 = 0.

kykrilka [37]3 years ago

6 0

(m+5)(m-9)=0 is a valid equation.

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