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aleksklad [387]
3 years ago
15

HELPPPPP PLEASEEE!!!!

Mathematics
2 answers:
dedylja [7]3 years ago
6 0

\boxed{c.\:x\:=\:-3} ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

\frac{3x - 15}{2}  =  4x \\  ⇢ 3x - 15 = 4x \times 2 \\ ⇢ 3x - 15 = 8x \\ ⇢ 3x - 8x = 15 \\ ⇢  - 5x = 15 \\ ⇢ x =  \frac{15}{ - 5}  \\ ⇢ x =  - 3

{ \bf{ \underbrace{To\:verify :}}}

\frac{3x - 15}{2}  = 4x \\ ⇢  \frac{3 \times (- 3) - 15 }{2}  = 4 \times  - 3 \\ ⇢  \frac{ - 9 - 15}{2}  =  - 12 \\ ⇢  \frac{ - 24}{2}  =  - 12 \\ ⇢  - 12 =  - 12 \\ ⇢ L.H.S.=R. H. S

Hence verified.

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}

liberstina [14]3 years ago
5 0

Answer:

X= - 3

Step-by-step explanation:

Multiply both sides by 2 to remove the division on the LHS

3X - 15=8X

Move 3X to the RHS

-15 =8X - 3X

-15= 5X

Divide both sides by 5

-3 =X

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worty [1.4K]

difference of squares means that both the terms are square terms. (also there must be a - symbol)

for example

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1. y^4 has a square root of y^2 as y^2 × y^2 is y^4.

<em>h</em><em>o</em><em>w</em><em>e</em><em>v</em><em>e</em><em>r</em><em>,</em><em> </em>-2 doesnt have a whole number square root so it is not a difference of squares.

2. 25 has a square root of 5. m^2 has a square root of m. n^4 has a square root of n^2. so this 25m^2n^4 is a square term.

1 has a square root of +1 and -1.

therefore, this one is a difference of squares. <u>(</u><u>5</u><u>m</u><u>n</u><u>^</u><u>2</u><u> </u><u>+</u><u>1</u><u>)</u><u> </u><u>(</u><u>5</u><u>mn^2</u><u> </u><u>-</u><u>1</u><u>)</u>

3. p^8 has a square root of p^4. q^4 has a square root of +q^2 and -q^2)

so it is a difference of squares. <u>(</u><u>p</u><u>^</u><u>4</u><u>+</u><u>q</u><u>^</u><u>2</u><u>)</u><u>(</u><u>p</u><u>^</u><u>4</u><u> </u><u>-</u><u>q</u><u>^</u><u>2</u><u>)</u>

4. 16x^2 is a square term as irs square root is 4x.

<em>h</em><em>o</em><em>w</em><em>e</em><em>v</em><em>e</em><em>r</em><em>,</em><em> </em>24 is not a square term.

therefore, it is not a difference of squares.

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