All categories

3 years ago

Find the solution(s) to x^2- 14x + 49 = 0.

Mathematics

1 answer:

malfutka [58]3 years ago

3 0

Answer:

$\boxed{C. \: x = 7 \: only}$

Step-by-step explanation:

$= > {x}^{2} - 14x + 49 = 0 \\ \\ = > {x}^{2} - (7 + 7)x + 49 = 0 \\ \\ = > {x}^{2} - 7x - 7x + 49 = 0 \\ \\ = > x(x - 7) - 7(x - 7) = 0 \\ \\ = > (x - 7)(x - 7) = 0 \\ \\ = > {(x - 7)}^{2} = 0 \\ \\ = > x - 7 = 0 \\ \\ = > x = 7$

You might be interested in

There are 3 windows in Tiana’s house that are made up of squares of colored glass. Each square of colored glass is the same size

Sati [7]

The answer is in your brain

7 0

3 years ago

William had $45 dollars to spend on Vegetables. After buying 6 watermelons , he had $25.50 left .how much did each watermelons c

notka56 [123]

Easy, just do 45-25.50= 19.50 and then divide 19.50 by 6, and then you get 3.25. So, your answer would be $3.25.

5 0

3 years ago

The area of a rectangle is 45 cm2. Two squares are constructed such that two adjacent sides of the rectangle are each also the s

Zielflug [23.3K]

Answer:

The lengths of sides of squares are 5 cm and 9 cm.

Step-by-step explanation:

Let the sides of rectangle be x and y .

Area of rectangle = Length × Breadth

Given : Area of rectangle = 45 cm².

⇒ x × y = 45

⇒ $x=\frac{45}{y}$ ........(1)

Two squares are constructed such that two adjacent sides of the rectangle

so squares have side x and y .

Area of square = side × side

Area of square with side x = x²

Area of square with side y = y²

Also, The combined area of the two squares is 106 cm².

⇒ x² + y² = 106

From (1) put value of x , we get,

$(\frac{45}{y})^2+y^2=106$

Solving for y ,

$(\frac{45}{y})^2+y^2=106$

$2025+y^4=106y^2$

$y^4-106y^2+2025=0$

$y^4-81y^2-25y^2+2025=0$

$y^2(y^2-81)-25(y^2-81)=0$

$(y^2-25)(y^2-81)=0$

$y^2-81=0$ or $y^2-25=0$

on solving we get y = 5 and y = 9

Also, x can be find by putting in (1),

⇒ $x=\frac{45}{5}=9$ and ⇒ $x=\frac{45}{9}=5$

⇒ x = 9 and x = 5

Thus, lengths of sides of squares are 5 cm and 9 cm.

6 0

3 years ago

Read 2 more answers

Select the correct graph of −4x + 3y = 6.

frosja888 [35]

Do you have a picture of the graph? They formula put into y=mx+b is y=4/3+2

so the y intercept is 2 and the slope will be going upwards :)

6 0

3 years ago

Read 2 more answers

What is the volume of the pyramid

alexgriva [62]

Answer:

Option A - 32 cm³

Step-by-step explanation:

Volume of a pyramid is given by the formula :

V = $\frac{lwh}{3}$

Substituting values given gives us :

V = (4)(4)(6)/3

V = (16)(6)/3

V = 96/3

V = 32

Units will be cm³ as this is volume

Hope this helped and have a good day

5 0

2 years ago

Read 2 more answers