Which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring? −b, b2 − 4ac, 2a Use the part of the quadratic formula that you chose above and find its value given the following quadratic equation: 2x2 + 7x + 3 = 0
I really need help on this please!
\[2x ^{2}+7x+3=0?\]
so a=2 b=7 and c=3. does -b tell you if you can factor or not? what about the other components?
basically the only rule that tells whether u can factor a quadratic into its roots is the discriminant \[\sqrt{b ^{2}-4ac}\]
is the result is a perfect square, then you can complete the problem by factoring.
if the discriminant is negative, then the roots are complex hope this helps.
\[\sqrt{7^{2}-4(2)(3)}=\sqrt{49-24}=\sqrt{25}=5\]
(2x +1)(x+ 3)=0 then solve for x \[x =-\frac{ 1 }{ 2 }\] or \[x = -3\]
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