Question

Solve
x2 - 8x + 14 = 2x - 7

Answer 1

x=7, x=3

Explanation:

`x^(2) -8x+14=2x-7`

`x^(2) -8x-2x+14+7=0`

`x^(2) -10x+21=0`

`\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}`

`x=`
`(-b\pm √(b^2-4ac))/(2a)`

positive

`x=(-\left(-10\right)+√(\left(-10\right)^2-4\cdot \:1\cdot \:21))/(2\cdot \:1)`

`x=7`

negative

`x=(-\left(-10\right)-√(\left(-10\right)^2-4\cdot \:1\cdot \:21))/(2\cdot \:1)`

`x=3`