HELP PLZ FAST HELP!!!!!!!!!! WILL AWARD BRAINLIEST PLZ HURRY

Which value for x makes the open sentence true? 8 + 3 * x = 2^2 + x^2

A) 5
B) 4
C) 3
D) 2

Respuesta :

Catswa
8+3*x=2^2+x^2
By plugging in one of the answers listed (A.B.C.and D.) you can figure out the solution
I'll be plugging in all of them one at a time (if that makes sense)
A) 8 + 3* 5 = 2^2+5^2 (see how I replaced x with answer, which is 5)
I'm following PEMDAS rule (There are no parentheses so I'll move on to exponents)
8+3*5=2^2+5^2 (2 * 2 is 4 and 5 *5 is 25, the ^ sign means you are squaring the number, which in this case is 2 and 5
8+3*5=4+25
Then use M in PEMDAS (multiplying 3 and 5=15
8+15=4+25 (Now theres no division, so skip the D in PEMDAS, and use the A (Addition) 8+15= 23 and 4+25 = 29
23=29 (A is not the right answer since they dont have the same value)
This is testing if answer B is the correct answer
8+3*4=2^2+4^2 ( I replaced x with 4)
8+3*4=4+16 (2*2=4 and 4*4= 16)
8+12=4+16 (multiplying 3and 4=12)
20=20 (Now these are the same value but  you should double check just in case 
Option C)
8+3*3 =2^2+3^2 (notice again I replaced x with 3
8+3*3=4+9 (2^2=4 and 3*3=9)
8+9=4+9 ( 3*3=9)
17=13 (8+9=17 and 4+9 = 13)
C) is also not right because the numbers arent the same value
Option D)
8+3*2=2^2+2^2
8+3*2=4+4 (2*2=4 and 2*2=4)
8+6=4+4 (3*2=6)
14=8 (8+6=14 and 4+4=8)
Since D) is not correct,

The correct answer is B)4

(Hope this helps you understand why A, C, and D isn't correct)

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