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2 years ago

Solve the equation x2 + x = 12.

Mathematics

2 answers:

Varvara68 [4.7K]2 years ago

4 0

3x=12 -> x=4 ………………………

Otrada [13]2 years ago

3 0

please give brainliest

Let's solve your equation step-by-step.

x2+x=12

Step 1: Subtract 12 from both sides.

x2+x−12=12−12

x2+x−12=0

Step 2: Factor left side of equation.

(x−3)(x+4)=0

Step 3: Set factors equal to 0.

x−3=0 or x+4=0

x=3 or x=−4

Answer:

x=3 or x=−4

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3 years ago

Find the values of P for which the quadratic equation 4x²+px+3=0?

klasskru [66]

<h3>Correct Questions :- </h3>

Find the values of P for which the quadratic equation 4x²+px+3=0 , provided that roots are equal or discriminant is zero .

<h3>Solution:- </h3>

Let us Consider a quadratic equation αx² + βx + c = 0, then nature of roots of quadratic equation depends upon Discriminant (D) of the quadratic equation.

For equal roots

D = 0

$\quad\green{ \underline { \boxed{ \sf{Discriminant, D = β² - 4αc}}}}$

So,

$\sf{ β² - 4αc = 0}$

Here,

α = 4
β = p
c = 3

Now,

$\begin{gathered}\implies\quad \sf p²- 4 \times 4 \times 3 =0 \end{gathered}$

$\begin{gathered}\implies\quad \sf p²- 48 =0 \end{gathered}$

$\begin{gathered}\implies\quad \sf p²=48\end{gathered}$

$\begin{gathered}\implies\quad \sf p=±\sqrt{48}\end{gathered}$

$\begin{gathered}\implies\quad \sf p=±\sqrt{2 \times 2 \times 2 \times 2 \times 3} \end{gathered}$

$\begin{gathered}\implies\quad \sf p=± 2\times 2\sqrt{ 3 }\end{gathered}$

$\begin{gathered}\implies\quad \boxed{\sf{p=±4\sqrt{ 3 }}}\end{gathered}$

Thus, the values of P for which the quadratic equation 4x²+px+3=0 are-

4√3 and -4√3.

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3 years ago

The combined height of one for tree and one pine tree is 21 meters. The height of 4 for trees stacked on top of each other is 24

slamgirl [31]

Answer:

The height of the fir tree is 9 meters tall and the pine tree is 12 meters.

Step-by-step explanation:

Given:

Note :→ there is a mistake it is fir tree not for tree.

The combined height of one fir tree and one pine tree is 21 meters.

The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Now, to find how tall are the types of trees.

Let the height of one fir tree be $x$ .

And the height of one pine tree be $y$ .

So, the combined height of one fir tree and one pine tree:

$x+y=21.$

$y=21-x.$ .........( 1 )

Now, as given the height of 4 for trees stacked on top of each other is 24 meters taller than one pine tree:

$4x=y+24.$

Putting the value of equation (1) in the place of $y$ :

$4x=21-x+24$

Adding both the sides $x$ we get:

$5x=21+24.$

$5x=45.$

Dividing both the sides by 5 we get:

$x=9\ meters.$

So, the height of one fir tree = 9 meters.

Now, putting the value of $x$ in equation (1) we get:

$y=21-9$

$y=12\ meters.$

Thus, the height of one pine tree = 12 meters.

Therefore, the fir tree is 9 meters tall and the pine tree is 12 meters tall.

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julia-pushkina [17]

Answer:

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Step-by-step explanation:

8 x 3 = 24

8 x 5 = 40

24x - 40

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3 years ago

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