All categories

3 years ago

What are the solutions of the quadratic equation p^2+3p-28=40

Mathematics

2 answers:

vivado [14]3 years ago

3 0

Answer:

the answer is =-3± $\sqrt{281}$ /2

Step-by-step explanation:

fgiga [73]3 years ago

3 0

Answer:

$\bold{p_1\approx6.88\ ,\qquad p_2\approx-9.88}$

Step-by-step explanation:

$p^2+3p-28=40\\\\p^2+3p-68=0\\\\a=1\,,\ b=3\,,\ c=-68\\\\\\p=\dfrac{-3\pm\sqrt{3^2-4\cdot1\cdot(-68)}}{2\cdot1}=\dfrac{-3\pm\sqrt{281}}{2}\\\\p_1\approx6.88\ ,\qquad p_2\approx-9.88$

You might be interested in

Solve using the method of elimination and determine if the system has 1 solution, no solutions, or infinite solutions

Minchanka [31]

$\begin{array}{rrrrr} 10x&-&18y&=&2\\ -5x&+&9y&=&-1 \end{array}~\hfill \implies ~\hfill \stackrel{\textit{second equation }\times 2}{ \begin{array}{rrrrr} 10x&-&18y&=&2\\ 2(-5x&+&9y&)=&2(-1) \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{rrrrr} 10x&-&18y&=&2\\ -10x&+&18y&=&-2\\\cline{1-5} 0&+&0&=&0 \end{array}\qquad \impliedby \textit{another way of saying \underline{infinite solutions}}$

if we were to solve both equations for "y", we'd get

$10x-18y=2\implies 10x-2=18y\implies \cfrac{10x-2}{18}=y\implies \cfrac{5}{9}x-\cfrac{1}{9}=y \\\\\\ -5x+9y=-1\implies 9y=5x-1\implies y=\cfrac{5x-1}{9}\implies y = \cfrac{5}{9}x-\cfrac{1}{9}$

notice, the 1st equation is really the 2nd in disguise, since both lines are just pancaked on top of each other, every point in the lines is a solution or an intersection, and since both go to infinity, well, there you have it.

8 0

2 years ago

NEED HELP QUICK! 20 POINTS!<br><br><br> Use the Law of Sines to find the measure of Angle R:

Troyanec [42]

Answer:

$\large\boxed{m\angle R\approx76^o}$

Step-by-step explanation:

$\dfrac{\sin R}{SQ}=\dfrac{\sin S}{RQ}\\\\\text{We have:}\\\\SQ=32,\ RQ=26,\ S=52^o\to\sin52^o\approx0.788\\\\\text{Substitute:}\\\\\dfrac{\sin R}{32}=\dfrac{0.788}{26}\qquad\text{multiply both sides by 32}\\\\\sin R\approx0.97\to R=\arcsin(0.97)\\\\R\approx76^o$

7 0

3 years ago

You can work at most 20 hours next week. You need to earn at least $92 to cover your weekly expenses. Your dog-

kicyunya [14]

Answer:

x+y ≤ 20

7.50x+6y ≥ 92

x = dog walking in hours

y = car washing in hours

3 0

3 years ago

What is the value of w? 28=4(w−3)

sveticcg [70]

Answer:

w=10

Step-by-step explanation:

1. Divide 4 on both sides to cancel out the 4 on the right side since it is an equation so it has to remain “equal”/ balanced.

2. You get 7=w-3.

3. Add 3 on both sides.

4.You get w=10.

7 0

3 years ago

Read 2 more answers

Ayúdeme es para mañana

murzikaleks [220]

I dont speak spanish at all

4 0

3 years ago