All categories

3 years ago

Solutions of x2 + 13x + 30 = 0 by factoring.

Mathematics

1 answer:

VMariaS [17]3 years ago

4 0

Answer:

x = -10 or x = -3

Step-by-step explanation:

Here, the given equation is

$x^{2} + 13x + 30 = 0$

The given equation can be solved by the method of SPLITTING THE MIDDLE TERM

Split 13 in such a way that sum of the terms = 13

and product of the terms = 30

So, the given equation becomes $x^{2} + 10x + 3x + 30 = 0$

Here, 10x+ 3x = 13x and 10 x 3 = 30

Now, simplifying the equation,

$x(x+10) + 3(x + 10) = 0 \\(x+3) (x+10) =0$

⇒ either (x+ 10) = 0 ,or (x+ 3) = 0

⇒ x = -10 or x = -3

You might be interested in

The function shown crosses the y-axis at....<br><br> (Pls help me ill give brainliest)

allsm [11]

Answer:

(0,3)

Step-by-step explanation:

(x,y)

you need to be on the y-axis and to be on that you need to have 0 on the

x-axis which is the first number you see (if you are reading from left to right)

and you need to go up 3 times so you put a 3 on the y axis and boom there you have it

Hope this helps!

5 0

3 years ago

You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta

vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

$m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$m = -\frac{\cos 2\theta}{\sin \theta}$

The tangent line is horizontal when $m = 0$ . Then:

$\cos 2\theta = 0$

$2\theta = \cos^{-1}0$

$\theta = \frac{1}{2}\cdot \cos^{-1} 0$

$\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right)$ , for all $i \in \mathbb{N}_{O}$

$\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}$ , for all $i \in \mathbb{N}_{O}$

The first four solutions are:

x: $\sqrt{2}$ $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$

y: 1 -1 1 -1

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

6 0

3 years ago

Foil Multiplication (2n+4)•(4n+7)

kiruha [24]

(2n+4)x(4n+7)

= 8n^2+14x+16n+28
=8n^2+30n+28

that's it :) !!

5 0

3 years ago

Read 2 more answers

Which sample size out of a population of 1,000 is most likely to lead to a valid conclusion?

Klio2033 [76]

200, because the more samples you have the more correct you will be.

5 0

3 years ago

Read 2 more answers

What is the value of x when 9x=45

kkurt [141]

Answer:

Step-by-step explanation:

45 divided by 9= 5

6 0

3 years ago

Read 2 more answers