Question

Solve for x.

5x^2-34x=-24

enter your answers in the boxes.
x=_ or x=_

what do i do to solve this ? (please explain)

Answer 1

The value of x is 6 or 4/5

Explanation:

Consider the provided equation.

`5x^2-34x=-24`

The above equation can be written as.

`5x^2-34x+24=0`

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

`x_(1,\:2)=(-b\pm √(b^2-4ac))/(2a)`

Substitute a=5, b=-34 and c=24 in above formula.

`x_(1,\:2)=(-\left(-34\right)\pm √(\left(-34\right)^2-4\cdot \:5\cdot \:24))/(2\cdot \:5)`

`x_(1,\:2)=(34\pm √(1156-480))/(10)`

`x_(1,\:2)=(34\pm √(676))/(10)`

`x_(1,\:2)=(34\pm 26)/(10)`

`x_(1,\:2)=(34\pm 26)/(10)\\x_(1,\:2)=(60)/(10)\ or\ (8)/(10)\\x_(1,\:2)=6\ or\ (4)/(5)`

Hence, the value of x is 6 or 4/5