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Salsk061 [2.6K]

3 years ago

13

Solve quadratic equation by completing the square 9x²=4 please help me answer this

2 answers:

Sveta_85 [38]3 years ago

6 0

Answer:

$9 {x}^{2} - 4 = 0$

$(3x - 2)(3x + 2) = 0$

$3x - 2 = 0$

$3x = 2$

$x = \frac{2}{3}$

AND

$3x + 2 = 0$

$3x = - 2$

$\times = - \frac{2}{3}$

andrew11 [14]3 years ago

4 0

9x²-4=0

or,(3x)² +2*3x*3 +(3)² -5 = 18x -5

or,(3x+3)² = 18x

either,3x+3= 18x or, 3x+3=-18x

or, 15x=3 or, 21x=-3

or, x=1/5 or, x=-1/7

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How do I do this? Please explain

kicyunya [14]

Answer:

$\frac{1}{16}$

Step-by-step explanation:

With a negative fractional exponent place a 1 over the positive value

$\frac{1}{ {8}^{ \frac{4}{3} } }$

rewrite 8 as

$( {2}^{3} ) ^{ \frac{4}{3} }$

apply the power rule and multiply the exponents.

cancel the common factor of 3

rewrite the expression

$\frac{1}{ {2}^{4} }$

raise 2 to the power of 4 which =16

so the answer is

$\frac{1}{16}$

5 0

3 years ago

A cylinder has a volume 1200 cubic inches and radius 5 inches. What is the height of the cone to the nearest tenth inch

mihalych1998 [28]

Answer: 15.3 in

Step-by-step explanation:

First, the formula for the volume is: $V=\pi r^2h$

If you solve for h,

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$h=15.3in$

3 0

3 years ago

LCM of x<sup>2</sup>+5x+6 and x<sup>2</sup>-x-6 is ………………………

sergejj [24]

Answer:

$(x^2 - 9)(x + 2)$

Step-by-step explanation:

Given:

$x^2 + 5x + 6$

$x^2 - x - 6$

Required:

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SOLUTION:

Step 1: Factorise each polynomial

$x^2 + 5x + 6$

$x^2 + 3x + 2x + 6$

$(x^2 + 3x) + (2x + 6)$

$x(x + 3) + 2(x + 3)$

$(x + 2)(x + 3)$

$x^2 - x - 6$

$x^2 - 3x +2x - 6$

$x(x - 3) + 2(x - 3)$

$(x + 2)(x - 3)$

Step 2: find the product of each factor that is common in both polynomials.

We have the following,

$x^2 + 5x + 6 = (x + 2)(x + 3)$

$x^2 - x - 6 = (x + 2)(x - 3)$

The common factors would be: =>

$(x + 2)$ (this is common in both polynomials, so we would take just one of them as a factor.

$(x + 3)$ and,

$(x - 3)$

Their product = $(x - 3)(x + 3)(x +2) = (x^2 - 9)(x + 2)$

4 0

3 years ago

Using a common denominator to write an equivalent fraction for each fraction what would 1/3, 1/5, common denominator be?

STatiana [176]

The common denominator would be 15

6 0

3 years ago

One number is 5 times another number.their sum is 90.find the numbers.

alexgriva [62]

Step-by-step explanation:

let both unknowns be x and y

x = 5y. ......(1)

x + y = 90. ......(2)

sub eqn (1) into eqn (2)

5y + y = 90

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y = 90/6

= 15

sub y = 15 to eqn (1)

x = 5y

x = 5 × 15

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4 0

3 years ago