Question

Solve using the quadratic formula. Approximate answers to the nearest tenth. x^2+7x+12=0

Answer 1

quadratic formula is
\[\frac{ -b \pm \sqrt{b ^{2}-4ac} }{ 2a }\]
and standard form ax^2+bx+c=0
so in put the number
\[\frac{ -7\pm \sqrt{7^{2}-4(1)(12)} }{ 2(1) }\]
\[\frac{ -7\pm \sqrt{49-48} }{ 2 }\]
\[\frac{ -7\pm \sqrt{1} }{ 2 }\]
\[\frac{ -7\pm 1 }{ 2 }\]
\[\frac{ -7+1 }{ 2 }\] and \[\frac{ -7- 1 }{ 2 }\]
-6/2 and -8/2
so the answers are x=-3 and -4

Answer 2

you can check it with factoring since that equation factors into (x+3)(x+4)=0
x+3=0
x=-3
x+4=0
x=-4

Answer 3

you got a medal

Answer 4

thank you