All categories

3 years ago

X² – 14x - 49 = 0solve the quadratic equation by using either a numeric or graphic approach

Mathematics

2 answers:

alexandr402 [8]3 years ago

4 0

Answer:

the value of x= plus minus 7

hope it helps you

Mkey [24]3 years ago

3 0

Answer:

${x}^{2} - 14x - 49 = 0$

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

${x}^{2} - 7x - 7x - 49 = 0$

$x(x - 7) + 7(x - 7) = 0$

$(x - 7)(x + 7) = 0$

NOW,

x-7=0

or,x=7

And,

x+7=0

or,x= -7

THEREFORE, x= 7, -7

hope it helps you,

make me brainliest plz

You might be interested in

Integration questions .

dlinn [17]

$\\\\\ \textbf{a)}\\\\~~~\displaystyle \int (6x- \sin 3x) ~ dx\\\\=6\displaystyle \int x ~ dx - \displaystyle \int \sin 3x ~ dx\\\\=6 \cdot \dfrac{x^2}2 - \dfrac 13 (- \cos 3x) +C~~~~~~~~~~~;\left[\displaystyle \int x^n~ dx = \dfrac{x^{n+1}}{n+1}+C,~~~n \neq -1\right]\\\\ =3x^2 +\dfrac{\cos 3x}3 +C~~~~~~~~~~~~~~~~~~~~;\left[\displaystyle \int \sin (mx) ~dx = -\dfrac 1m ~ (\cos mx)+C \right]\\$

$\textbf{b)}\\\\~~~~\displaystyle \int(3e^{-2x} +\cos (0.5 x)) dx\\\\=3\displaystyle \int e^{-2x} ~dx+ \displaystyle \int \cos(0.5 x) ~dx\\\\\\=-\dfrac 32 e^{-2x} + \dfrac 1{0.5} \sin (0.5 x) +C~~~~~~~~~~~~~~;\left[\displaystyle \int e^{mx}~dx = \dfrac 1m e^{mx} +C \right]\\\\\\=-\dfrac 32 e^{-2x} + 2 \sin(0.5 x) +C~~~~~~~~~~~~~~~~~;\left[\displaystyle \int \cos(mx)~ dx = \dfrac 1m \sin(mx) +C\right]\\\\\\=-1.5e^{-2x} +2\sin(0.5x) +C$

$\textbf{a)}\\\\y = \displaystyle \int \cos(x+5) ~ dx\\\\\text{Let,}\\\\~~~~~~~u = x+5\\\\\implies \dfrac{du}{dx} = 1+0~~~~~~;[\text{Differentiate both sides.}]\\\\\implies \dfrac{du}{dx} = 1\\\\\implies du = dx\\\\\text{Now,}\\\\y= \displaystyle \int \cos u ~ du\\\\~~~= \sin u +C\\\\~~~=\sin(x+5) + C$

$\textbf{b)}\\\\y = \displaystyle \int 2(5x-3)^4 dx\\\\\text{Let,}\\~~~~~~~~u = 5x-3\\\\\implies \dfrac{du}{dx} = 5~~~~~~~~~~;[\text{Differentiate both sides}]\\\\\implies dx = \dfrac{du}5\\\\\text{Now,}\\\\y = 2\cdot \dfrac 1 5 \displaystyle \int u^4 ~ du\\\\\\~~=\dfrac 25 \cdot \dfrac{u^{4+1}}{4+1} +C\\\\\\~~=\dfrac 25 \cdot \dfrac{u^5}5+C\\\\\\~~=\dfrac{2u^5}{25}+C\\\\\\~~=\dfrac{2(5x-3)^5}{25}+C$

$\textbf{a)}\\\\y = \displaystyle \int xe^{3x} dx\\\\\text{We know that,}\\\\ \displaystyle \int (uv) ~dx = u \displaystyle \int v ~ dx - \displaystyle \int \left[ \dfrac{du}{dx} \displaystyle \int ~ v ~ dx \right]~ dx\\\\\text{Let}, u =x~ \text{and}~ v=e^{3x} .\\\\y= \displaystyle \int xe^{3x} ~dx\\\\\\~~= x\displaystyle \int e^{3x} ~ dx - \displaystyle \int \left[\dfrac{d}{dx}(x) \displaystyle \int e^{3x}~ dx \right]~ dx\\\\\\$

$=x\displaystyle \int e^{3x}~ dx - \displaystyle \dfrac 13 \int \left(e^{3x} \right)~ dx\\\\\\=\dfrac{xe^{3x}}3 - \dfrac 13 \cdot \dfrac{ e^{3x}}3+C\\\\\\= \dfrac{xe^{3x}}{3}- \dfrac{e^{3x}}{9}+C\\\\\\=\dfrac{3xe^{3x}}{9}- \dfrac{e^{3x}}9 + C\\\\\\= \dfrac 19e^{3x}(3x-1)+C$

<h2 />

8 0

2 years ago

Make t the subject of the formula: S = at + bt

riadik2000 [5.3K]

To make t the subject is basically isolating t

S = at + bt
We see on the right side that t is common, so we factor it out.

S = t(a + b)
Divide by (a+b) to isolate t

$\frac{S}{a + b} = \frac{t(a+b)}{(a+b)}$
a + b and a + b cancels out
We are left with the answer:
t = $\frac{S}{a+b}$

8 0

3 years ago

Read 2 more answers

You can convert temperature given in degrees Celsius to a Fahrenheit temperature by using the expression 9x / 5+ 32 , where x is

andriy [413]

The formula given in the question for conversion of temperature is

F = 9x/5 + 32
a. When temperature = 0 degrees centigrade, then
F = (9 * 0)/5 + 32
= 0 + 32
= 32 degree Fahrenheit

b when temperature of boiling water = 100 degree Celsius, then
F = (9 * 100)/ 5 + 32
= 900/5 + 32
= 212 degree Fahrenheit

c. When temperature of water is 15 degree Celsius, then
F = (9 * 15)/5 + 32
= 27 + 32
= 59 degree Fahrenheit

4 0

3 years ago

The sum of 1/2 and 2/3 is ______________

SIZIF [17.4K]

Step-by-step explanation:

greater than less than or equal to what

4 0

3 years ago

Read 2 more answers

How many of the first 1000 positive integers are multiples of both 4 and 5 but not 6 ? Although the options are

Pachacha [2.7K]

I think I the answer is c. Sorry if I’m wrong

5 0

4 years ago

X² – 14x - 49 = 0solve the quadratic equation by using either a numeric or graphic approach​

X² – 14x - 49 = 0solve the quadratic equation by using either a numeric or graphic approach