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erica [24]
4 years ago
10

Explain how to solve 5x^2-3x=25 by completing the square. What are the solutions?

Mathematics
2 answers:
hodyreva [135]4 years ago
6 0

Answer:

can you help me

Step-by-step explanation:

Furkat [3]4 years ago
3 0

Answer:

x= 5/2 or simplified: 1 and 1/2 or 1.5 if you want it as a decimal

Step-by-step explanation:

so the expression is 5x squared -3x=25 so first step, you have to get rid of the exponent first, to remove the exponent you have to square root 5x and 25 because 25 is on the other side of the equal sign, once you rid of the square you'll be left with 5x-3x=5 so then you put together like terms which are 5x and -3x so you'd be left with 2x=5 and to find x, you need to get rid of the 2 on the left side so you divide 2x by 2 and 5 by 2. Now you're left with x=5/2 and you simplify if needed.

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F÷−32=−31<br><br> whats the answer?
Archy [21]

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "/-32" was replaced by "/(-32)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

f/(-32)-(-31)=0

Step by step solution :

STEP

1

:

f

Simplify ———

-32

Equation at the end of step

1

:

f

——— - -31 = 0

-32

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using -32 as the denominator :

-31 -31 • -32

-31 = ——— = —————————

1 -32

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

f • -1 - (-31 • 32) 992 - f

——————————————————— = ———————

32 32

Equation at the end of step

2

:

992 - f

——————— = 0

32

STEP

3

:

When a fraction equals zero

3.1 When a fraction equals zero

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

992-f

————— • 32 = 0 • 32

32

Now, on the left hand side, the 32 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

992-f = 0

Solving a Single Variable Equation:

3.2 Solve : -f+992 = 0

Subtract 992 from both sides of the equation :

-f = -992

Multiply both sides of the equation by (-1) :

f = 992

the answer is f = 992

8 0
3 years ago
Read 2 more answers
What is the slope and the y-intercept of the graph of y = 8/9x - 8
Rudiy27
Slope: 8/9
y-intercept: (0,-8)

If needed hope this answers your question!!

4 0
3 years ago
What is the derivative of ln(lnx^3)
chubhunter [2.5K]

the derivative of ln(lnx^3) is \frac{1}{x(lnx)} .

<u>Step-by-step explanation:</u>

Here we have to find the derivative of ln(lnx^3) , Let's find out:

We have , ln(lnx^3) , Let's differentiate it w.r.t x :

⇒ \frac{d(ln(lnx^3))}{dx}

Let lnx^3 = u

⇒ \frac{d(ln(u))}{dx}

⇒ \frac{1}{u} (\frac{d(u)}{dx} )

⇒ \frac{1}{u} (\frac{d(ln(x^3))}{dx} )

Let x^3=v

⇒ \frac{1}{u} (\frac{d(ln(v))}{dx} )

⇒ \frac{1}{u}(\frac{1}{v} ) (\frac{d(v)}{dx} )

⇒ \frac{1}{u}(\frac{1}{v} ) (\frac{d(x^3)}{dx} )            

⇒ 3x^2(\frac{1}{u})(\frac{1}{v} )

Putting value of u & v we get:

⇒ 3x^2(\frac{1}{lnx^3})(\frac{1}{x^3} )

⇒ \frac{3}{x(lnx^3)}    { lnx^n = n(lnx)  }

⇒ \frac{3}{3x(lnx)}

⇒ \frac{1}{x(lnx)}

Therefore , the derivative of ln(lnx^3) is \frac{1}{x(lnx)} .

6 0
3 years ago
Berta worked to solve a system of equations. 4x + y = –5 x – y = –5 Step 1: ??? Step 2: x = –2 Step 3: 4(–2) + y = –5 Step 4: –8
Lemur [1.5K]
5x= -10
I hope I could help.

7 0
3 years ago
Read 2 more answers
What is the distance between –5 and 2?
sergeinik [125]

Answer:

7

Step-by-step explanation:





5 0
3 years ago
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