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matrenka [14]
3 years ago
15

What values of x is x2+2x=24 true

Mathematics
2 answers:
agasfer [191]3 years ago
4 0
The answer is x= 4 and x= -6

fomenos3 years ago
4 0

Answer: x = 4

Step-by-step explanation:

x² + 2x = 24.

x² + 2x - 24= 0

Solving this quadratic equation to find the root we will find the value of x.

x² + 2x - 24 =0

x² - 4x + 6x - 24 =0

Factorize.

x( x - 4) + 6( x - 4)

x + 6 = 0 or x - 4 = 0

x = - 6 or x = 4. Now we can check the values by substituting the value of x in the equation, we start with the positive value. x = 4

x² + 2x = 24 sub.

4² + 2(4) = 24

16 + 8 = 24

24 = 24

Now we can say when x = 4, the equation is true.

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