Question

if x=p is a solution of the equation x(2x+5)=3 then find the value of p​

Answer 1

Answer:

-3, 1/2

Step-by-step explanation:

x(2x+5)=3

or,

2x²+5x-3 = 0

or,

2x²+6x+-x-3=0

or,

2x(x+3)-1(x+3)=0

or,

(x+3)(2x-1)=0

or,

x = -3, 1/2

Answer 2

The value of p is 0.5 or -3.

Step-by-step explanation:

Given : If x=p is a solution of the equation x(2x+5)=3.

To find : The value of p​  ?

Solution :

The equation is  $x(2x+5)=3$.

Substitute x=p,

$p(2p+5)=3$

$2p^2+5p=3$

$2p^2+5p-3=0$

Using quadratic formula, $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Here, a=2, b=5 and c=-3

$p=\frac{-5\pm\sqrt{5^2-4(2)(-3)}}{2(2)}$

$p=\frac{-5\pm\sqrt{49}}{4}$

$p=\frac{-5\pm7}{4}$

$p=\frac{-5+7}{4},\frac{-5-7}{4}$

$p=0.5,-3$

Therefore, the value of p is 0.5 or -3.

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