Verified answer

Simple & Easy.

We use [(a+b)] ^2 = a^2 + 2 ab + b^2 formula & then factorize the resultant expression.

(3x + 5)^ 2 - 6 = 0

=> (9 x^2 + 30 x + 25) - 6 = 0

=> 9 x^2 + 30 x +19 = 0.

Using the Formula

[ - b + / - Sq,Rt. of (b^2 - 4 ac)] whole divided by 2a.

where a = + 9, b = +30 & c = +19

Another simple method using the formula

(a^2 - b^2) = (a+b) * ( a -b)

(3x + 5 ) ^ 2 - 6

= ( 3x + 5 ) ^2 - (root 6) ^2

= ( 3x + 5 + sq.rt of 6 ) ( 3x + 5 - sq.rt. of 6) = 0

Either 3x + 5 + sq. rt.6 = 0

=> 3x = -(5 - sq.root 6)

=> x = -[(5 - sq.rt 6)] / 3 .... Answer 1.

or 3x + 5 - sq.rt. 6 = 0

=> 3x = -5 + sq.rt. 6 = 0

=> x = [-5 + sq.rt6 ]

=> x = - [ 5 - sq.rt. 6] ... Answer 2.

x = - ( 5 + sq.rt. 6) or - ( 5 - sq.rt. 6) Answer.

Substitute the value of sq.rt. 6 & find the answer correct to places of decimals you require.

Sq. rt of 6 = 2.45 Correct to 2 places of decimals.

So x = - 7.45 or -2.55. Answer

Hope this helps.

to do this, you will need to know the quadratic equation.

First, you make it 3x(squared)+25=6

Next, 3x(squared)+25-6=0

You then do the product-sum method where -18 is the product and 25 is the sum. You then figure out that you cannot solve this using the product-sum method, lol

This means that you need to use the quadratic equation(x= -b plus or minus the square root of 4ac divided by two.

Sorry I couldn't write in the characters.

Hope it helps

(3x + 5)² = 6. Squaring,

9x² + 30x + 25 = 6. Adding -6,

9x² + 30x + 19 = 0. Using the quadratic formula,

x = {-(30) ± √[(30)² - 4(9)(19)]} / 2(9)

x = {-30 ± √[900 - 684]} / 18

x = {-30 ± √216} / 18

x = {-30 ± (√36)(√6)} / 18

x = {-30 ± 6(√6)} / 18

x = {-5 ± √6} / 3

This method works, but Kemmy's way is quicker.

(3x+5)^2=6

let's try method one first

(3x+5)^2=6

(3x+5)(3x+5)=6

9x^2+15x+15x+25=6

9x^2+30x-19=0

using the quadratical equation...

a=9

b=30

c=19

since the only factors of c are (1,19) and (-1, -19) and neither of those factors added together give you 30 we need to go another route

(3x+5)^2=6

square root both sides so

3x+5=square root of 6

3x=(square root of 6) -5

x= [(square root of 6)-5]/3

x=[2.449489743-5]/3

x=-2.550510257/3

x=-0.850170085

now since the square root of 6 is also -2.449489743

x=[-2.449489743-5]/3

x=-7.449489743/3

x=-2.483163248

so x = -0.8502 as well as x = - 2.4832

important note: never round off until you get to your final answer.

(3x + 5)² = 6

3x+5 = sqrt6

x = (sqrt6 - 5) / 3

x = -0.850, -2.483