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Setler [38]
3 years ago
13

32x - 4 = 4x2 + 60 For the equation shown, choose the description of the solutions.

Mathematics
2 answers:
Over [174]3 years ago
5 0

Answer:

Two real and equal solutions.

Step-by-step explanation:

We have been given an equation 32x-4=4x^2+60. We are asked to find the type of solutions of our given equation.

First of all, we will gather all terms on left side of our equation using opposite operations:

-4x^2+32x-4-60=4x^2-4x^2+60-60

-4x^2+32x-64=0

Dividing our equation by -4 we will get,

x^2-8x+16=0

To determine the type of solutions for our given problem, we will use discriminant formula.

D=b^2-4ac

b = Coefficient of x term,

a = Leading coefficient,

c = Constant term.

Upon substituting our given values in discriminant formula, we will get,

D=(-8)^2-4(1)(16)

D=64-64

D=0

The interpretations for the value of D are as follows:

D=0;\text{ Two real and equal roots}

D>0;\text{ Two real and distinct roots}

D

Since the value of D is equal to 0 for our given equation, therefore, our given equation will have two real and equal roots or solutions.

Furkat [3]3 years ago
3 0
All to one side:

4x^2-32x+64 = 0,

divide by 4:

x^2 -8x + 16 = 0

apply formula or see that it is (x-4)^2!, so only x =4 is a root and it is double.
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Factorise and evaluate<br><br> 25 × 6 + 25 × 4
AlekseyPX

Answer:

250

Step-by-step explanation:

First with factorise the common factor out first, in this case, its 25.

25x6+25x4 = 25(6+4)

Now using of order of operations we will evaluate the bracket first.

25(6+4) = 25(10) = 25 x 10 = 250

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2 years ago
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Factor the expression completely. 6×3- 4×2 – 16x A. 0 B. 2x(3×2 – 2x – 8) C. 2x(3x + 4)(x – 2) D. 4x(2x + 1)(x – 4) E. 2x(2×2 +
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Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

6x³ - 4x² - 16x

To factorize the expression first factor out the GCF out

The GCF in the expression is 2x

That's

2x( 3x² - 2x - 8)

Next Factorize the terms in the bracket

To factorize write - 2x as a difference

that's

2x( 3x² + 4x - 6x - 8)

<u>Factor out x from the expression</u>

2x [ x( 3x + 4) - 6x - 8 ]

<u>Next factor out - 2 from the expression</u>

2x [ x ( 3x + 4) - 2( 3x + 4) ]

<u>Factor out 3x + 4 from the expression</u>

We have the final answer as

<h3>2x( 3x + 4)( x - 2)</h3>

Hope this helps you

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