Question

(2x + 3)2 + (2x - 3)2 = (8x + 6)(x -1) +22​

Answer 1

Step-by-step explanation:

4x+6+4x-6=8xsquare 2 -8x+6x-6+22

8x=8x square2-8x+6x+16

8x-8xsquare2-2x+16

8xsquare2-8x-2x+16=0

8xsquare2-10x+16=0

Answer 2

Answer:

32.875 or 20.375

Step-by-step explanation:

= (2x + 3) 2 + (2x - 3) 2 = (8x + 6) (x - 1) + 22

expand the equation

= 4x + 6 + 4x - 3 = 8x²- 2x - 6 + 22

collect the like terms on the left part of the eqn

= 8x + 3 = 8x ² - 2x -6 + 22

equate the eqn to 0

= 8x² - 2x -8x +3 - 6+22 = 0

=8x²- 10x + 13 =0

complete the equation with the quadratic formula

= -b ± $\sqrt{}$$\frac{b²+ 4ac}{2a}$

=--10 ± $\frac{ \sqrt{-10² + (4 * 8 * 13)}}{2*8}$

= 10 ±$\frac{ 100 + 416}{16}$

= 32.875 or 20.375

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