Question

Solve the equation x^2+17x+12=-3x^2 to the nearest tenth.

Answer 1

`x=-(17)/(8)+(√(97) )/(8)` or
`x=-(17)/(8)-(√(97) )/(8)`

Explanation:

`x^2+17x+12=-3x^2`

Add
`3x^2` on both sides.

`x^2+17x+12+3x^2=-3x^2+3x^2`

`x^2+17x+12+3x^2=0`

Combine like terms;

`4x^2+17x+12=0`

Use the quadratic formula;

a=4

b=17

c=12

`x=\frac{-b\frac{+}{}√(b^2-4ac) }{2a}`

`x=\frac{-(17)\frac{+}{}√((17)^2-4(4)(12)) }{2(4)}`

`x=\frac{-17\frac{+}{}√(289-192) }{8}`

`x=\frac{-17\frac{+}{}√(97) }{8}`

`x=-(17)/(8)+(√(97) )/(8)` or
`x=-(17)/(8)-(√(97) )/(8)`