Question

Which of the following are solutions to the equation below?

Check all that apply.
5x2 - 2x + 16 = 4x2 + 6x
O A. -6
O B. 6
O C.-3
D. -4
E 4
O
F. 18

Answer 1

E

Explanation:

Answer 2

E. x = 4

Explanation:

`5x^2-2x+16=4x^2+6x\qquad\text{subtract}\ 4x^2\ \text{from both sides}\\\\x^2-2x+16=6x\qquad\text{subtract}\ 6x\ \text{from both sides}\\\\x^2-8x+16=0\\\\\text{Put the values of}\ x\ \text{to the equation and check the equality:}\\\\A.\ x=-6\\\\(-6)^2-8(-6)+16=36+48+16=100\\eq0\\\\B.\ x=6\\\\6^2-8(6)+16=36-48+16=4\\eq0\\\\C.\ x=-3\\\\(-3)^2-8(-3)+16=9+24+16=49\\eq0\\\\D.\ x=-4\\\\(-4)^2-8(-4)+16=16+32+16=64\\eq0\\\\E.\ x=4\\\\4^2-8(4)+16=16-32+16=0\\\\F.\ x=18\\\\18^2-8(16)+16=324-128+16=212\\eq0`