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Quadratic Equations: ax^2+bx+c=0
Factor first mult. A and C then use the factors from the answer to add to B
1.) 2b^2+10b+12
2.) 3g^2+8g+4
3.) 4x^2+4x-3
4.) 8b^2-5b-10
5.) 6m^2+7m-3
6.) 10d^2+17d-20
Please Answer ASAP Show ALL WORK

Sagot :

apologiabiology
quadratic equaiton is
x=[tex] \frac{-b- \sqrt{b^2-4ac} }{2a} [/tex] or [tex] \frac{-b+ \sqrt{b^2-4ac} }{2a} [/tex]

just subsitute and simplify
I will only do one in detail since it takes some time

so first one2b^2+10b+12
a=2
b=10
c=12
subsitute
x=[tex] \frac{-10- \sqrt{10^2-4(2)(12)} }{2(2)} [/tex] or
[tex] \frac{-10+ \sqrt{10^2-4(2)(12)} }{2(2)} [/tex]
pemdas

[tex] \frac{-10- \sqrt{10^2-4(2)(12)} }{2(2)} [/tex]
do parenthasees or inside exponents
(10^2-4(2)(12) =(100-96)=4
square root of 4=2
(-10-2)/(2 times 2)=-12/4=-3
if -10+square root then
(-10+2)/(2 times 2)=-8/4=-2
answer is
b=-3 or -2


second one
answer is g=-2 or -2/3


3rd
x=-3/2 or 1/2

4th
b=[tex] \frac{5- \sqrt{345} }{16} [/tex] or
[tex] \frac{5+ \sqrt{345} }{16} [/tex]

5th
m=-3/2 or 1/3

6th
d=-5/2 or 4/5


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