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grin007 [14]
3 years ago
15

For what values of x is x2+2x=24 true?

Mathematics
2 answers:
JulijaS [17]3 years ago
5 0

Answer:

x=-6 and x=4

Step-by-step explanation:

We must solve the quadratic equation to find the values of x that satisfy equality

x^2+2x=24

Subtract 24 on both sides of equality

x^2+2x-24=24-24

x^2+2x-24=0

Now we factor the quadratic equation

Identify two numbers that when you add them you get as a result 2 and when you multiply them you get as a result -24

The numbers sought are: 6 and -4

So the factors are:

(x+6)(x-4)=0

Finally note that the solutions are:

x=-6 and x=4

Blababa [14]3 years ago
5 0

Answer:

The answer is C). 4 and-6

Step-by-step explanation:

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\huge\textbf{Hey there!}

\huge\boxed{\textbf{5m = 10}}\\\\\large\textbf{DIVIDE 5 to BOTH SIDES}\\\\\huge\boxed{\mathbf{\dfrac{5m}{5} = \dfrac{10}{5}}}\\\\\large\textbf{CANCEL out: }\bold{\dfrac{5}{5}}\large\textbf{ because it gives you 1}\\\large\textbf{KEEP: }\rm{\bf \dfrac{10}{5}}\large\textbf{ because it gives you the m-value}\\\large\textbf{NEW EQUATION: m = }\bf \rm{\dfrac{10}{5}}\\\\\large\textbf{SIMPLIFY IT!}\\\huge\boxed{\mathbf{m = 2}}\\\large\textbf{Therefore, your answer is: \huge\boxed{\mathsf{m = 2}}}\huge\checkmark

\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}

<h2>~\mathfrak{Amphitrite1040:)}</h2>
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