Using quadratic formula solve the a b x2-b2-a c x v-b c-0 for x

Consider, abx2 +(b2 ac)x bc = 0 ⇒ abx2 + b2x – acx – bc = 0 ⇒ bx (ax + b) – c(ax + b) = 0 ⇒ (ax + b)(bx – c) = 0 (ax+b)=0 ax= b x= b/a (bx c)=0 bx=c x=c/b so ro ...

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Byju's Answer

Standard XII

Mathematics

Existence of Limit

Using quadrat...

Question

Using quadratic formula solve the abx²+(b²-ac)xv- bc =o for x

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Solution

Consider, abx² +(b²-ac)x-bc = 0
⇒ abx² + b²x – acx – bc = 0
⇒ bx (ax + b) – c(ax + b) = 0
⇒ (ax + b)(bx – c) = 0
(ax+b)=0
ax=-b
x=-b/a
(bx-c)=0
bx=c
x=c/b
so roots are -b/a;c/b

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Using quadratic formula solve the abx²+(b²-ac)xv- bc =o for x

Consider, abx2 +(b2-ac)x-bc = 0 ⇒ abx2 + b2x – acx – bc = 0 ⇒ bx (ax + b) – c(ax + b) = 0 ⇒ (ax + b)(bx – c) = 0 (ax+b)=0 ax=-b x=-b/a (bx-c)=0 bx=c x=c/b so roots are -b/a;c/b

Consider, abx² +(b²-ac)x-bc = 0
⇒ abx² + b²x – acx – bc = 0
⇒ bx (ax + b) – c(ax + b) = 0
⇒ (ax + b)(bx – c) = 0
(ax+b)=0
ax=-b
x=-b/a
(bx-c)=0
bx=c
x=c/b
so roots are -b/a;c/b