Question

if x is equals to 2 ,Y is equals to 5 is a solution of equation
${a }^{2} x + ay + 3 = 0$
find a​

Answer 1

hey mate kindly send the pic of the question

Answer 2

Answer:

-3/2 & -1

Step-by-step explanation:

${a}^{2} x + ay + 3 = 0$

Substituting x and y,

$2 {a}^{2} + 5a + 3 = 0$

Factorising the equation using Splitting the middle term will give:

$2 {a}^{2} + 2a + 3a + 3$

$2a(a + 1) + 3(a + 1)$

$(2a + 3)(a + 1) = 0$

Since the answer is 0, either of the two brackets should be 0. Hence, such questions MAY have two solutions.

$2a + 3 = 0$

$a = \frac{ - 3}{2}$

And

$a + 1 = 0$

$a = - 1$

Hence,

a = -3/2 & -1