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PSYCHO15rus [73]
3 years ago
15

Use factoring to solve for all solutions of the quadratic equation.

Mathematics
1 answer:
Vsevolod [243]3 years ago
4 0
◆ QUADRATIC RESOLUTIONS ◆

we \: are \: given \: the \: expression \:  -  \\  \\  {x}^{2}  + 25 = 0 \\  \\  {x}^{2}  =  - 25 \\  \\ (i =  \sqrt{ - 1) }   \\ ( {i}^{2}  =  - 1)\\  \\  {x}^{2}  =  - 25 \\  \\  {x}^{2}  = 25 {i}^{2}  \\  \\ x =  + 5i \:  \:  \:  \: or \:  \:  \:  \:  \: x =  - 5i \:  \:  \:  \: ans.
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Factorise<br><br> x^3 - 2x^2 -x+2
tankabanditka [31]

Answer:

Solution given:

x^3 - 2x^2 -x+2

take common from two each term

x²(x-2)-1(x-2)

take common again and keep left one on other bracket

<u>(x-2)(x²-1) or (x-1)(x+1)(x-2)</u> is a required answer.

note:using formula a²-b²=(a+b)(a-b) for x²-1.

5 0
2 years ago
Read 2 more answers
(Fractions) Rewrite the expression using fithteenths. 2/5 - 1/3 =
Anastasy [175]

Answer:

1/15

Step-by-step explanation:

2/5-1/3=6/15-5/15=1/15

6 0
2 years ago
Let f(x)=x^3-x-1
alexira [117]
f(x) = x^3 - x - 1

To find the gradient of the tangent, we must first differentiate the function.

f'(x) = \frac{d}{dx}(x^3 - x - 1) = 3x^2 - 1

The gradient at x = 0 is given by evaluating f'(0).

f'(0) = 3(0)^2 - 1 = -1

The derivative of the function at this point is negative, which tells us <em>the function is decreasing at that point</em>.

The tangent to the line is a straight line, so we will have a linear equation of the form y = mx + c. We know the gradient, m, is equal to -1, so

y = -x + c

Now we need to substitute a point on the tangent into this equation to find c. We know a point when x = 0 lies on here. To find the y-coordinate of this point we need to evaluate f(0).

f(0) = (0)^3 - (0) - 1 = -1

So the point (0, -1) lies on the tangent. Substituting into the tangent equation:

y = -x + c \\\\ -1 = -(0) + c \\\\ -1 = c \\\\ \text{Equation of tangent is } \boxed{y = -x - 1}
6 0
3 years ago
Which section of the function is constant? <br><br> A <br> B<br> C<br> D
Sunny_sXe [5.5K]
Constant is occurring continuously over a period of time so C is the correct answer because C is constant for a period of time  
4 0
3 years ago
Read 2 more answers
*Due tonight, plz help*
Eduardwww [97]

Answer:

y° = 7°

Step-by-step explanation:

 (8y +4) +(8y +4) +(8y +4)=180°   ( Equilateral Triangle)

24y +12= 180°

24y= 180-12

y=7°

8 0
2 years ago
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