👤
VIADORJOSHUA5IN
Answered

2. The square root of 3 less than twice a number is 3. Find the number.
a. 3
b. 6
c. 7
d. 9
3. The square root of 8 less than thrice a number is equal to 4 less than a numbe
Find all possible numbers.
a. 4 and 2
c. 6 and 3
b. 5 and 2
d. 8 and 3


pakisagot. po with sulotion​

Sagot :

LHELHENGIN

Answer:

2. B. 6

3. D. 8 and 3

Step-by-step explanation:

2. B. 6

[tex] \sqrt{2x - 3} = 3[/tex]

[tex] {}^{2} ( \sqrt{2x - 3} = 3) {}^{2} [/tex]

[tex]2x - 3 = 9[/tex]

[tex] 2x = 9 + 3[/tex]

[tex] 2x = 12[/tex]

[tex] \frac{ 2x}{ 2} = \frac{12}{ 2} [/tex]

[tex]x = 6[/tex]

3. D. 8 and 3

[tex] \sqrt{3x - 8} = x - 4[/tex]

[tex] {}^{2} ( \sqrt{3x - 8} = x - 4) {}^{2} [/tex]

[tex]3x - 8 = (x - 4) {}^{2} [/tex]

[tex] {x}^{2} - 3x + 8 - 16 = 0[/tex]

[tex] 3x - 8 = {x}^{2} - 4x - 4x + 16[/tex]

[tex]3x - 8 = {x}^{2} - 8x + 16[/tex]

[tex] {x}^{2} - 8x - 3x + 16 + 8[/tex]

[tex] {x}^{2} - 11x + 24[/tex]

[tex]x - 8 \\ x - 3[/tex]

[tex]x = 8 \\ x = 3[/tex]

In Studier: Other Questions