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2 years ago

Using the quadratic formula, what are the solutions to x2 – 3x = -2?

Mathematics

2 answers:

Kryger [21]2 years ago

6 0

Step-by-step explanation:

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Mazyrski [523]2 years ago

6 0

Answer:

$x=1,\: x=2$

Step-by-step explanation:

To be honest, you don't need the quadratic formula as you can just factor the polynomial after setting it equal to 0:

$x^2-3x=-2\\\\x^2-3x+2=0\\\\(x-1)(x-2)=0\\\\x=1,\: x=2$

If you really need to use the quadratic formula, here's the process:

$ax^2+bx+c=0\\\\x^2-3x+2=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-(-3)\pm\sqrt{(-3)^2-4(1)(2)}}{2(1)}\\\\x=\frac{3\pm\sqrt{9-8}}{2}\\\\x=\frac{3\pm\sqrt{1}}{2}\\\\x=\frac{3\pm1}{2}\\x_1=\frac{3-1}{2}\\ \\x_1=\frac{2}{2}\\\\x_1=1\\\\x_2=\frac{3+1}{2}\\\\x_2=\frac{4}{2}\\ \\x_2=2$

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Dafna11 [192]

In this problem, you have already shown the solution.

24 = 3y - 6 => 30 = 3y, y =10

12 = 5x + 2 => 10 = 5x , x = 2

And yes, basically parallel sides must have the same length

These are the answers:

for 17.) x = 2
y = 10

for 18.) mid segment = (side 1 + side 2) / 2 -->
19 = (24 + side2) / 2 -->
38 = 24 + side2,

thus, side 2 = 14 units

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2 years ago

The area of a rectangle is 525 sq cm. the ratio of the length to the width is 7:3. find the length and width.

nalin [4]

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3 years ago

Round each number to the place of the underlined digit the 4 is underlined in 324,650

Otrada [13]

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Step-by-step explanation:

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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JulijaS [17]

Answer:

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Step-by-step explanation:

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Jona_Fl16

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