Solve this quadratic equation using the quadratic formula. x^2 + 8x - 5 = 0
@phi
do you know the quadratic formula?
0.58257569495584, -8.58257569495584.
ya \[-b \pm \sqrt{b ^{2}-4ac}\]
i gave u the answer
ya but I need to know how to do it
If you are fuzzy on using it, watch this when you have time http://www.khanacademy.org/math/algebra/quadratics/quadratic_formula/v/using-the-quadratic-formula meanwhile, you want to match the letters a, b and c to your problem
I KNOW
x^2 + 8x - 5 = 0 you "pattern match" that to a x^2 + b x + c=0 what do you get for a, b and c ?
btw, we want to divide by 2a in the formula \[ (-b \pm \sqrt{b ^{2}-4ac})/2a \]
First step is give the numbers for a,b and c can you do that ?
A=1 B=8 C=-5
Am I right
@ProfessorMath can u help me
@Callisto will u hel me
a=1, b=8, c=-5 Correct. Now substitute these values into the quadratic formula \[x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\]to find x.
\[-8\pm \sqrt{8^{2}-4*1*-5}\]
No.. You need the denominator (2a) too!
\[-8\pm \sqrt{84-4*1*5}\div2*1\]
\[-8\pm \sqrt{80*1*5\div2}\]
8^2 = 64 \[x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-8\pm \sqrt{8^2-4(1)(-5)}}{2(1)}=\frac{-8\pm \sqrt{64-4(1)(-5)}}{2(1)}=...?\]
ya I get stuck after this
Simplify the value under the square root first. What is 64 - 4(1)(-5)?
84
Can one of yal help me
Yes. So, now, we get \[x=\frac{-8\pm \sqrt{84}}{2(1)}\] 84 = (2^2)x3x7, so \[x=\frac{-8\pm \sqrt{2^2\times 3\times 7}}{2(1)}=\frac{-8\pm 2\sqrt{3\times 7}}{2(1)}\]Can you simplify it?
they both equal 84
Hmm... they =?
idk im getting confused
Confused at?
I have to find what X=
That's what we have been working on.
o wow this takes a long time
so I go t \[x=-8\pm \sqrt{84} \div2\]
\[x=(-8\pm \sqrt{84})\div2\]
ya wats next
Simplify it.
okay so its \[-8\pm9.16515\div2\]
is that right
\[-8\pm4.58258\] this is after I div 9.16515 by 2
\[(-8\pm 9.16515)\div2\]Add/subtract before you divide.
the \[-8+9.16515 \div2=0.58258\] that's add the \[-8-9.16515\div2=-8.58258\] that's subtract
Is that right @Callisto
Yes. But remember to put brackets for the addition/subtraction part.
what would x=
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