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Lina20 [59]
3 years ago
12

The sum of 19 and Raj's savings is 49. Translate this sentence into an equation.

Mathematics
1 answer:
Sav [38]3 years ago
8 0

19 + x = 49

49 - 19 = 30

Raj's savings is $30.

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What is the positive value of “x”?<br> x(x+5)=387<br> Hint: Use the quadratic formula
nadya68 [22]

Answer:

<h2>x= −5−11√13/2, −5+11√13/2</h2>

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

Exact Form:

x= −5−11√13/2, −5+11√13/2

Decimal Form:

x=17.33053201…,

−22.33053201…

Step-by-step explanation:

x(x+5)=387

Simplify

x(x+5).

x^2+5x=387

Subtract 387 from both sides of the equation.

x^2+5x−387=0

Use the quadratic formula to find the solutions.

−b±√b^2−4(ac)/2a

Substitute the values a=1, b=5, and c= −387 into the quadratic formula and solve for x.−5±√5^2−4⋅(1⋅−387)/2⋅1

Simplify.

x=−5±11√13/2

The final answer is the combination of both solutions.

x=−5−11√13/2, −5+11√13/2

The result can be shown in multiple forms.

Exact Form:

x=−5−11√13/2,−5+11√13/2

Decimal Form:

x=17.33053201…,

−22.33053201…

<h2>Hope it is helpful....</h2>
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The answer is eight and thirteen
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