1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
postnew [5]
3 years ago
9

What is the answer for -4-(7t-4)^2=-49

Mathematics
1 answer:
sleet_krkn [62]3 years ago
8 0
  • Answer:

<em>t₁ = (3√5 + 4)/7</em>

<em>t₂ = -(3√5 - 4)/7</em>

  • Step-by-step explanation:

<em>- 4 - (7t - 4)² = - 49</em>

<em>- (7t - 4)² = - 49 + 4</em>

<em>- (7t - 4) = - 45 | (-)</em>

<em>(7t - 4)² = 45</em>

<em>(7t - 4)² = 3√5</em>

<em>7t - 4 = ± 3√5</em>

  1. <em> 7t - 4 = 3√5 => 7t = 3√5 + 4 => t₁ = (3√5 + 4)/7</em>
  2. <em> 7t - 4 = - 3√5 => 7t = - 3√5 + 4 => t₂ = -(3√5 - 4)/7</em>

You might be interested in
50 POINTS 10 QUESTIONS! <br><br> Solve each quadratic equation using factoring<br><br> PLEASE HELP!!
Tanzania [10]

Answer:

Quadratic Equation | Factoring

Solve each quadratic equation using factoring.

1) v² + 5v + 6 = 0

doing middle term factorisation

v²+(3+2)v+6=0

v²+3v+2v+6=0

v(v+3)+2(v+3)=0

(v+3)(v+2)=0

either

<u>v=-3</u>

<u>or</u>

<u>v=-2</u>

2) g² - 3g = 4

keeping all terms in one side

g²-3g-4=0

doing middle term factorisation

g²-(4-1)g-4=0

g²-4g+g-4=0

g(g-4)+1(g-4)=0

(g-4)(g+1)=0

either

<u>g=4</u>

<u>or</u>

<u>g=-1</u>

3)w² + 4w = 0

w(w+4)=0

either

<u>w=0</u>

<u>or</u>

<u>w=-4</u>

4) s² - 8s + 12 = 0

doing middle term factorisation

s²-(6+2)+12=0

s²-6s-2s+12=0

s(s-6)-2(s-6)=0

(s-6)(s-2)=0

either

<u>s=6</u>

<u>or</u>

<u>s=2</u>

5) x ²+ 2x - 35 = 0

doing middle term factorisation

x²+(7-5)x-35=0

x²+7x-5x-35=0

x(x+7)-5(x+7)=0

(x+7)(x-5)=0

either

<u>x=-7</u>

<u>or</u>

<u>x=5</u>

6) r(r + 2) = 99

opening bracket

r²+2r=99

keeping all terms in one side

r²+2r-99=0

r²+(11-9)r-99=0

r²+11r-9r-99=0

r(r+11)-9(r+11)=0

(r+11)(r-9)=0

either

<u>r=-11</u>

<u>or</u>

<u>r=9</u>

7)k(k-4)=-3

opening bracket

k²-4k=-3

keeping all terms in one side

k²-4k+3=0

k²-(3+1)k+3=0

k²-3k-k+3=0

k(k-3)-1(k-3)=0

(k-3)(k-1)=0

either

k=3

or

k=1

8)t²+ 3t + 2 = 0

doing middle term factorisation

t²+(2+1)t+2=0

t²+2t+t+2=0

t(t+2)+1(t+2)=0

(t+2)(t+1)=0

either

<u>t</u><u>=</u><u>-</u><u>2</u>

<u>or</u>

<u>t</u><u>=</u><u>-</u><u>1</u>

9)m ^ 2 - 81 = 0

m²=81

doing square root in both side

\sqrt{m²}=\sqrt{9²}

<u>m=±9</u>

<u>either</u>

<u>m</u><u>=</u><u>9</u>

<u>or</u>

<u>m</u><u>=</u><u>-</u><u>9</u>

10) h²- 17h + 70 = 0

doing middle term factorisation

h²-(10+7)h+70=0

h²-10h-7h+70=0

h(h-10)-7(h-10)=0

(h-10)(h-7)=0

either

<u>h</u><u>=</u><u>1</u><u>0</u>

<u>or</u>

<u>h</u><u>=</u><u>7</u>

6 0
3 years ago
Read 2 more answers
Solve x^2 - x = 2 using the quadratic formula. Show your work.
lesya [120]
The quadratic formula is the result of completing the square for ax^2+bx+c=0 when a,b, and c are unknown values.  This result is:

x=(-b±√(b^2-4ac))/(2a), we have x^2-x-2=0 so

x=(1±√(1+8))/2

x=(1±√9)/2

x=(1±3)/2

x=-1 and 2
8 0
3 years ago
please help 20 points if do
NISA [10]

Answer:

2,34x

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
At Farmer Jones Market, bananas cost $.80 per pound. At Farmer Garcia's
e-lub [12.9K]

divide $4.50 by 5 .......

4 0
3 years ago
Juniors and seniors at a local school were surveyed to see if they were left-handed or right-handed. The data is displayed in th
Novosadov [1.4K]
P(left handed senior) = 14/(36 + 14 + 44 + 106) = 14/200 = 0.07 = 7%
8 0
3 years ago
Other questions:
  • Miranda is packing eggs in cartons. Each carton holds 12 eggs. She had already filled 3 cartons. How many more eggs does she nee
    15·1 answer
  • Jesse found 5 seashells on the beach today. This is 1 less than one-third he found yesterday. Which equation, when solved for x,
    14·1 answer
  • Harriet is cultivating a strain of bacteria in a petri dish. Currently, she has 103 bacteria in the dish. The bacteria divide ev
    8·1 answer
  • Can someone please help me with number 2?
    7·2 answers
  • Can someone please help me with this question?
    7·1 answer
  • What is the expanded form of x(x+6)
    6·2 answers
  • Which of the following statement about the point (5,3 and ( 5,-3) is true?
    11·2 answers
  • 5½x2½= plzz help i need it
    13·1 answer
  • Can someone pls help me ? I really need help
    7·1 answer
  • If 5x= -35,then find the value of -28+4x
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!