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3 years ago

Solve by completing the square3x2 + x - 2 = 0

Mathematics

1 answer:

DIA [1.3K]3 years ago

3 0

Answer:

x = 2/3 or x = -1

Step-by-step explanation by completing the square:

Solve for x:

3 x^2 + x - 2 = 0

Divide both sides by 3:

x^2 + x/3 - 2/3 = 0

Add 2/3 to both sides:

x^2 + x/3 = 2/3

Add 1/36 to both sides:

x^2 + x/3 + 1/36 = 25/36

Write the left hand side as a square:

(x + 1/6)^2 = 25/36

Take the square root of both sides:

x + 1/6 = 5/6 or x + 1/6 = -5/6

Subtract 1/6 from both sides:

x = 2/3 or x + 1/6 = -5/6

Subtract 1/6 from both sides:

Answer: x = 2/3 or x = -1

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3 years ago

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3 years ago

Read 2 more answers

The area of the triangle below is 10.6 square centimeters. What is the length of the

CaHeK987 [17]

Answer:

6 cm

Step-by-step explanation:

The area of a triangle is $\frac{bh}{2} = A$ , where b = base, h = height, and A = area. In this case, we're given the height as 4 cm and the area as 6 cm^2.

Let's plug in these values.

$\frac{4b}{2} = 6$

Now, let's solve this algebraically.

Step 1: Multiply both sides by 2.

$\frac{4b}{2} * 2 = 6 * 2$
$4b = 12$

Step 2: Divide both sides by 4.

$\frac{4b}{4} = \frac{12}{4}$
$b = 3$

Step 3: Check if solution is correct.

$\frac{3*4}{2} = 6$
$\frac{12}{2} = 6$
$6 = 6$

Therefore, the base is 6 cm. (but don't put the cm in the box because it's already there)

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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Solve by completing the square3x2 + x - 2 = 0​

Solve by completing the square3x2 + x - 2 = 0