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What are the solutions to the function x^2+9x+8=0​

User Sukunrt
by
5.9k points

2 Answers

3 votes

Answer:

x = -1 or x = -8

Explanation:

It is given the function

x² + 9x + 8 = 0

To find the solution of given function

x² + 9x + 8 = 0

By using splitting method we can write,

x² + x + 8x + 8 = 0

x(x + 1) + 8 (x + 1) = 0

(x + 1)(x + 8) = 0

x+ 1 = 0 or x + 8 = 0

x = -1 or x = -8

User Priktop
by
5.6k points
2 votes

Answer:

The solutions are


x=-8\\x=-1

Explanation:

We must solve the equation:


x^2+9x+8=0

To solve the equation we can use the factoring method.

To factor the expression, look for two numbers that when you add them, get the result 9 and when multiply them, get the result 8.

You can verify that the numbers that meet this requirement are: 8 and 1.

Then the polynomial factors are:


(x + 8) (x + 1)

So


x^2+9x+8=(x + 8) (x + 1) = 0

Then


x+8= 0 or
x+1 =0


x=-8 or
x= -1

User Jrieke
by
5.3k points