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3 years ago

Solve the given equation by completing the square.

Mathematics

2 answers:

Dmitriy789 [7]3 years ago

6 0

Answer:

a = -4, b = 3 and c = 6 (OR)

a = -4, b = -3 and c = 6

Step-by-step explanation:

$x^{2} +8x = 38$

Add 16 to both sides.

$x^{2} +8x+16 = 38 + 16$

$(x+4)^{2} =54$

$x + 4 = \sqrt{54}$ or $x + 4 = -\sqrt{54}$

$x+4=3\sqrt{6}$ or $x+4=-3\sqrt{6}$

$x=-4+3\sqrt{6}$ or $x=-4-3\sqrt{6}$

Therefore, a = -4, b = 3 and c = 6 (OR)

a = -4, b = -3 and c = 6

alexgriva [62]3 years ago

5 0

Answer

i got it right a = -4, b = 3 and c = 6 (OR)

a = -4, b = -3 and c = 6

Step-by-step explanation:

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trapecia [35]

Answer:

see explanation

Step-by-step explanation:

x² + 3x + 7 = 5 ( subtract 5 from both sides )

x² + 3x + 2 = 0 ← in standard form

(x + 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x ( zero product rule )

x + 2 = 0 → x = - 2

x + 1 = 0 ⇒ x = - 1

--------------------------------------------------------------

x² - 2 = - 2x² + 5x ( subtract - 2x² + 5x from both sides )

3x² - 5x - 2 = 0 ← in standard form

(3x + 1)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - $\frac{1}{3}$

x - 2 = 0 ⇒ x = 2

------------------------------------------------------------

(x + 3)² + 4x = 0 ← expand left side using FOIL and simplify

x² + 6x + 9 + 4x = 0

x² + 10x + 9 = 0 ← in standard form

(x + 9)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x + 1 = 0 ⇒ x = - 1

4 0

3 years ago

What is the expression equivalent to 64 - x^2

Murrr4er [49]

Answer: -(x+8)(x-8)

Step-by-step explanation:

-(x^2-64)

x^2-8^2x^2

x^2-8^2=(x+8)(x-8)

-(x+8)(x-8)

8 0

3 years ago

Read 2 more answers

What is the length of the hypotenuse, x, if (20,21,x) is a Pythagorean triple?

Sophie [7]

Answer:

Step-by-step explanation:

$(20,21,x) \\Pythagoras -Theorem =\\a^2+b^2 = c^2\\\\20^2 + 21^2 = x^2\\400 + 441 = x^2\\841 = x^2\\Square -root-both-sides\\\sqrt{841} = \sqrt{x^2} \\29 = x\\\\x = 29$

6 0

3 years ago

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3 values that would make this inequality true. 28+ x > 42

Mumz [18]

24, 36, 42 these aare answers that you can add to 28 that will give you something bigger then 42

4 0

3 years ago

Find all of the zeros of each function <br>x^3+9x^2+6x-16

dedylja [7]

Answer:

x = -8, -2, and 1

Step-by-step explanation:

The zeros of a function are another name for its x-intercepts. To find them, graph the function and examine its behavior near the x-axis. In the attached picture you can see that this function has the zeros, x = -8, -2, and 1.

6 0

3 years ago