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padilas [110]
1 year ago
7

If using the method of completing the square to solve the quadratic equation x 2 + 14 x − 1 = 0 which number would have to be ad

ded to "complete the square"?
Mathematics
1 answer:
NNADVOKAT [17]1 year ago
5 0

The values of x after solving the quadratic equation x²+14x-1 , using completing the square method is -√50-7 or +√50-7.

<h3>What is a quadratic equation?</h3>

A Quadratic equations is second-degree algebraic expressions and is of the form ax² + bx + c = 0.

Uisng the method of completing the square to solve the equation below, we following the steps.

Equation ⇒ x²+14x-1 = 0

Step 1:

Take the constant to the other side of the equation

  • x²+14x = 1

Step 2:

Find half the coefficient of x, square, and  add it to both side of the equation.

  • Coefficient of x = 14
  • Half coefficient of x = 14/2 = 7
  • square of half the coefficient of x = 7²

There,

  • x²+14x+7² = 1+7²
  • x²+14x+7² = 50

Step 3:

Express the trinomial on the left side as a square of binomial

  • (x+7)² = 50

Step 4:

Take the square root of both side.

  • √(x+7)² = √50
  • x+7 = ±√50

Step 5:

Make x the subject of the equation by moving 7 to the other side of the equation

  • x =  ±√50-7

Step 6:

Seperate the expression for each value of x

  • Either x = -√50-7
  • or x = +√50-7

Hence, the value of x is  -√50-7 or +√50-7.

Learn more about quadratic equation here: brainly.com/question/25841119

#SPJ1

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4 0
3 years ago
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Determine whether LINE AB and LINE CD are parallel, perpendicular, or neither. A(−1, −4) , B(2, 11) , C(1, 1) , D(4, 10) ( write
Luba_88 [7]

Step-by-step explanation:

Hey there!

The points of line AB are; (-1,-4) and (2,11).

Note:

  • Use double point formula and simplify it to get two eqaution.
  • Use condition of parallel lines, perpendicular lines to know whether the lines are parallel or perpendicular or nothing.

~ Use double point formula.

(y - y1) =  \frac{y2 - y1}{x2 - x1} (x - x1)

~ Keep all values.

(y  + 4) =  \frac{11 + 4}{2 + 1} (x + 1)

~ Simplify it.

y + 4 =  \frac{15}{3} (x + 1)

y + 4 = 5x + 5

5x - y + 1 = 0

Therefore this is the equation of line AB.

Now, Finding the equation of line CD.

Given;

The points of line CD are; (1,1) and (4,10).

~ Using formula.

(y - y1) =  \frac{y2 - y1}{x2 - x1}(x - x1)

~ Keep all values.

(y - 1) =  \frac{10 - 1}{4 - 1} (x - 1)

~ Simplify it.

y - 1 = 3 x - 3

3x - y - 2 = 0

Therefore, 3x - y- 2 = 0 is the eqaution of line CD.

Use condition of parallel lines.

m1= m2

Slope of equation (i)

m1 =  \frac{ - coeff. \: of \: x}{coeff \: of \: y}

m1 =  \frac{ - 5}{ - 1}

Therefore, m1 = 5

Slope of second equation.

m2 =  \frac{ - coeff \: .of \: x}{coeff \: .of \: y}

m2 =   \frac{ - 3}{ - 1}

Therefore, m2 = 3.

Now, m1≠m2.

So, the lies are not parallel.

Check for perpendicular.

m1*m2= -1

3*5≠-1.

Therefore, they aren't perpendicular too.

So, they are neither.

<em><u>Hope </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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Your docter prescribes you to take 400 milagrams every 8 hours.How many ounces of medicene do you take in a day?
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Answer:

1/25

Step-by-step explanation:

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So,

Slope of m = Slope of p = 1/25

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goldfiish [28.3K]

Answer:

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Step-by-step explanation:

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6x-30 = 3x+3

3x = 33

x = 11

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