Mathematics, 23.08.2019 10:00 shusemann

Which equation is quadratic in form?
6(x + 2)2 + 8x + 2 + 1 = 0
6x4 + 7x2 – 3 = 0
5x6 + x4 + 12 = 0
x9 + x3 – 10 = 0

Answers: 2

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Answers

A quadratic equation is a polynomial with an order of two. Its general form is ax² + bx + c = 0. From the choices given, the first option seems to be the quadratic equation. Simplifying the equation gives 6x² + 18x + 27 = 0.

Answer from: jmac48828

Option A is correct

Step-by-step explanation:

We have been given four equations and we need to tell which one of them is quadratic

Case1:

6(x+2)^2+8(x+2)+1

In this we will use the formula (a+b)^2=a^2+b^2+2ab

Here, a=x and b=2

The equation will become 6(x^2+2^2+4x)+8x+16+1

Hence, after simplification equation will become

6x^2+24+24x+8x+16+1

6x^2+32x+41 which is a quadratic equation because quadratic equation is the equation is the equation which has degree 2.

In this equation degree is 2 hence, quadratic

Case2:

6x^4+7x^2-3 is not quadratic since, degree in this equation is 4 not 2

Hence, biquadratic not quadratic

Case3:

5x^6+x^4+12 is not a quadratic equation since, degree in this equation is 6.

Hence, not quadratic

Case4:

x^9+x^3-10 is not quadratic since, degree in this equation is 9

Hence, not quadratic

Therefore, Option A is correct

Answer from: Quest

c. x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

$\frac{little}{big} =\frac{side mn}{side ab}=\frac{side on}{side cb}$ .

$\frac{0.96}{1.2}=\frac{x}{3}$

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

$0.96(3)=1.2(x)\\2.88=1.2x\\\frac{2.88}{1.2}=\frac{1.2x}{1.2} \\2.4=x$

Answer from: Quest

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You know the right answer?

Which equation is quadratic in form?
6(x + 2)2 + 8x + 2 + 1 = 0
6x4 + 7x2 – 3 = 0
...