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Mariulka [41]
3 years ago
15

What are the solutions to the quadratic equation 4x^2-9x-9=0?

Mathematics
2 answers:
IrinaVladis [17]3 years ago
7 0

For this case we have the following quadratic equation:

4x ^ 2-9x-9 = 0

We can factor the equation to find the roots of the polynomial,

We have then:

(x-3) (4x + 3) = 0

Therefore, the solutions of the equation are given by:

Solution 1:

x-3 = 0\\x = 3

Solution 2:

4x + 3 = 0

x = -\frac{3}{4}

Answer:

The solutions to the quadratic equation are:

x = 3

x = -\frac{3}{4}

gavmur [86]3 years ago
4 0
X = 3, -
 \frac{3}{4}
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Problem 1 Answer: x=10

<u>Simplify both sides of the equation</u>

<u></u>(2)(x)+(2)(-3)=14(Distribute)<u></u>

<u></u>2x+-6=14<u></u>

<u></u>2x-6=14<u></u>

<u></u>

<u>Add 6 to both sides</u>

2x-6+6=14+6

2x=20

<u></u>

<u>Divide both sides by 2</u>

<u></u>2x/2=20/2<u></u>

<u></u>x=10<u></u>

----------------------------------------------------------------

Problem 2 Answer: x=-7

<u></u>

<u>Simplify both sides of the equation</u>

<u></u>(-5)(x)+(-5)(-1)=40(Distribute)<u></u>

<u></u>-5x+5=40<u></u>

<u></u>

<u>Subtract 5 from both sides</u>

<u></u>-5x+5-5=40-5<u></u>

<u></u>-5x=35<u></u>

<u></u>

<u>Divide both sides by -5</u>

<u></u>-5x/5=35/-5<u></u>

<u></u>x=-7<u></u>

----------------------------------------------------------------

Problem 3 Answer: x=-8

<u></u>

<u>Simplify both sides of the equation</u>

<u></u>(12)(x)+(12)(10)=24(Distribute)<u></u>

<u></u>12x+120=24<u></u>

<u></u>

<u>Subtract 120 from both sides</u>

<u></u>12x+120-120=24-120<u></u>

<u></u>12x=-96<u></u>

<u></u>

<u>Divide both sides by 12</u>

<u></u>12x/12=-96/12<u></u>

<u></u>x=-8<u></u>

----------------------------------------------------------------

Problem 4 Answer: x=-1/2

<u></u>

<u>Move all terms to the left:</u>

<u></u>2(x+6)-(11)=0<u></u>

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<u>Multiply parentheses</u>

<u></u>2x+12-11=0<u></u>

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<u>Add all the numbers together, and all the variables</u>

<u></u>2x+1=0<u></u>

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<u>Move all terms containing x to the left, all other terms to the right</u>

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Problem 5 Answer: x = 44

3 0
3 years ago
Read 2 more answers
Evaluate the equation 2L+6=6L-10
nadezda [96]

Answer:

2

Step-by-step explanation:

2L + 6 = 6L - 10                      Add 10 to both sides

2L + 6 + 10 = 6L                     Combine the left.

2L + 16 = 6L                           Subtract 2L from both sides

16 = 6L + 2L                           Combine the right    

16 = 8L                                   Divide by 8

8L = 16

8L/8 = 16/8

L = 2

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3 years ago
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blsea [12.9K]

Answer:

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Step-by-step explanation:

8 0
3 years ago
69.5 is What precent of 85?
kenny6666 [7]
69.5 percent of 85 is 59.075 
3 0
3 years ago
Read 2 more answers
√9a^2 + √49b - a + √b<br><br><br> a. 2b + 8 √a<br><br> b. 2a - 8 √b<br><br> c. 2a + 8 √b
Firdavs [7]
The correct answer:
______________________________________________________
Explanation:
______________________________________________________
Assuming you mean:

" √(9a²)  +  (√49b)  −  a  +  √b " ;

Simplify the expression:
_________________________________________________________

Note that:  " √(9a²) = 3a " ;

                   "√(49b) = 7√b " ;   

And we write the expression

   →  " 3a  +  7√b  −  a  + √b " ; 

Combine the "like terms:

   " + 3a − a  =  2a " ;

   " +  7√b  +  1√b   =  8√b " ; 

Rewrite:  
________________________________________________________
    " 2a  +  8√b " ;  which is:  Answer choice:  [C]:  " 2a  +  8√b " .
________________________________________________________
8 0
3 years ago
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