Question

write the equation ( x -1 )² = 2x + 3 in standard form and write the value of a , b , c .​

Answer 1

Answer :

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

x^2 - 2x + 3

x^ - 2x + 1 - 2x - 3 = 0

x^2 - 4x - 2 = 0

then,

a = 1

b = -4

c = -2

Answer 2

Answer:

$x^2-4x-2 = 0 \\a = 1 , b = -4 , c = -2$

Step-by-step explanation:

Given :- $(x-1)^2 = 2x+3$

To find :-

• write the equation in standard form
• write the values of a , b, c .  

Solution :-

Step 1) Write the given equation ,

$(x-1)^2 = 2x+3$  ----- (1)

Step 2) Simplify the equation ,

            $(x-1)^2 = 2x+3 \\x^2 -2x+1 = 2x+3 \\x^2 -4x -2 = 0$ ---- (2)

Step 3) We know that general quadratic equation is ,

$ax^2+bx+c = 0$ ----- (3)

Step 4) By comparing equation , (2) and (3)

we get ,

$a = 1 \\b = -4 \\c = -2$  ---- (4)

Thus , the answer is

$x^2-4x-2 = 0 \\a = 1 , b = -4 , c = -2$

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