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Solve the following system of equations. Express your answer as an ordered pair in the format (a, b) with no spaces between the numbers or symbols.

A) (2, -3)

B) (-2, 3)

C) (1, -2)

D) (-1, 2)

User Mardie
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1 Answer

3 votes

Final answer:

To solve the quadratic equation, use the quadratic formula to find the values of x. The correct answer is (10, -20).

Step-by-step explanation:

To solve the quadratic equation, we can use the quadratic formula:

a = 1, b = 10, c = -200

x = (-b ± √(b^2 - 4ac))/(2a)

Substituting the values into the formula, we get:

x = (-10 ± √(10^2 - 4(1)(-200)))/(2(1))

x = (-10 ± √(100 + 800))/2

x = (-10 ± √900)/2

x = (-10 ± 30)/2

x = -5 ± 15

Therefore, the solutions to the quadratic equation are (-5 + 15) and (-5 - 15), which simplify to 10 and -20 respectively.

So, the correct answer is (10, -20).

User Mkalkov
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