Question

Write the following equations in the form
ax2+bx+c=0.
(1). 2x2=5x-6. (2). x(x+2)=5

Answer 1

Answer:  The answers are given below.

Step-by-step explanation:  Given two equations and we are to write them in the following form

$a x^2+bx+c=0.$

The first equation is

$2x^2=5x-6\\\\\Rightarrow 2x^2-5x+6=0\\\\\Rightarrow 2x^2+(-5)x+6=0\\\\\Rightarrow ax^2+bx+c=0,$

where, a = 2, b = -5  and  c = 6.

The second equation is

$x(x+2)=5\\\\\Rightarrow x^2+2x=5\\\\\Rightarrow x^2+2x-5=0\\\\\Rightarrow x^2+2x+(-5)=0\\\\\Rightarrow ax^2+bx+c=0,$

where, a = 1, b = 2  and  c = -5.

Answer 2

Answer

where,

• a=1
• b=2
• c=-5