If x -1-3 is a solution of the equation ax 2- a -1 x -4- a- find the value of aA- 9B- 59 - 8C- 33 - 5D- 23 - 7E- 33 - 7

The correct option is C 33/5 Given x=1/3 and ax^2+(a 1)x+4=a ⇒ a× ( 1/3 )^2+(a 1)1/3+4=0 ⇒a/9+a 1/3+4=a ⇒a+3a 3+36/9=a ⇒ 4a+33 =9a ⇒ 5a= 33 ⇒ a=33/5=63/ ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Solving a Quadratic Equation by Factorization Method

If x =1/3 is ...

Question

$If x = \frac{1}{3} is a solution of the equation a x^{2} + (a - 1) x + 4 = a, find the value of a$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

59/8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

33/5

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

23/7

No worries! We‘ve got your back. Try BYJU‘S free classes today!

33/7

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
33/5

$G i v e n x = \frac{1}{3} a n d a x^{2} + (a - 1) x + 4 = a \Rightarrow a \times {(\frac{1}{3})}^{2} + (a - 1) \frac{1}{3} + 4 = 0 \Rightarrow \frac{a}{9} + \frac{a - 1}{3} + 4 = a \Rightarrow \frac{a + 3 a - 3 + 36}{9} = a \Rightarrow 4 a + 33 = 9 a \Rightarrow - 5 a = - 33 \Rightarrow a = \frac{33}{5} = 6 \frac{3}{5}$

Suggest Corrections

Similar questions

Q. Find the value of

^{'} a^{'},

x = 0.5

is a solution of equation

a x^{2} + (a - 1) x + 3 = a .

Q. Find the value of a if the three equations are consistent

(a + 1)^{3} x + (a + 2)^{3} y = (a + 3)^{3}

(a + 1) x + (a + 2) y = a + 3

x + y = 1

Q. If the following system of equations is consistent,

{(a + 1)}^{3} x + {(a + 2)}^{3} y = {(a + 3)}^{3}, (a + 1) x + (a + 2) y = a + 3, x + y = 1

, then find the value of

a

\frac{1}{2} x - 2 y = 5

;

- \frac{1}{2} x + 3 y = 4

If (x , y) are defined as the solution of the system of equations shown above, then what is the value of x if y= 9 is a solution. ?

Q. The value of 'a' for which the system of equations

(a + 1)^{3} x + (a + 2)^{3} y = (a + 3)^{3}

(a + 1) x + (a + 2) y = a + 3

x + y = 1

is consistent ,is

Join BYJU'S Learning Program

If x=13 is a solution of the equation ax2+(a−1)x+4=a, find the value of a

The correct option is C 33/5 Given x=13 and ax2+(a−1)x+4=a⇒a×(13)2+(a−1)13+4=0⇒a9+a−13+4=a⇒a+3a−3+369=a⇒4a+33=9a⇒−5a=−33⇒a=335=635

$If x = \frac{1}{3} is a solution of the equation a x^{2} + (a - 1) x + 4 = a, find the value of a$