Question

For questions 8 - 10, find all the solutions for x.8. 2x 4+14= 229. 8x +19 -54 +3x?10. 7x² + 12 =51- 4x?

Answer 1

x = 2 or x = -2

Step-by-step explanation:

8) 2x² + 14 = 22

collect like terms by subtracting14 from both sides of the equation:

2x² + 14 - 14 = 22 - 14

2x² + 0 = 8

2x² = 8

DIvide both sides by 2:

2x²/2 = 8/2

x² = 4

Square root both sides of the equation:

`\begin{gathered} \sqrt[]{x^2}\text{ = }\pm\sqrt[]{4} \\ x\text{ =}\pm2 \\ \pm2\text{ = +2 or -2} \\ x\text{ =2 or x = -2} \end{gathered}`