Question

Write the following equation in the form of ax²+ bx + c = 0 and find the value of a, b, c.

4x²= 7–3x​

Answer 1

$\large\underline{\sf{Given- }}$

• An Quadratic equation 4x²= 7–3x, to be represent in the form of ax²+ bx + c = 0.

$\large\underline{\sf{To\:Find - }}$

• The value of a, b, c.

$\large\underline{\sf{Solution-}}$

Given Quadratic equation is

$\rm :\longmapsto\: {4x}^{2} = 7 - 3x$

can be rewritten as

$\rm :\longmapsto\: {4x}^{2} + 3x - 7 = 0$

So,

• On comparing with ax²+ bx + c = 0,

we get

• a = 4

• b = 3

• c = - 7

Additional Information :-

Nature of roots :-

Let us consider a quadratic equation ax² + bx + c = 0, then nature of roots of quadratic equation depends upon Discriminant (D) of the quadratic equation.

• If Discriminant, D > 0, then roots of the equation are real and unequal.

• If Discriminant, D = 0, then roots of the equation are real and equal.

• If Discriminant, D < 0, then roots of the equation are unreal or complex or imaginary.

Where,

• Discriminant, D = b² - 4ac

Answer 2

$\fbox\red{Solution}$

Given:-

$\mathtt{ {4x}^{2} = 7 - 3x }$

Write this in the form of quadratic equation.

$\mathtt{ {4x}^{2} + 3x - 7 = 0 }$

So on comparing with quadratic equation ax²+ bx + c = 0

Here the value of ax² is 4 , bx is 3 and c is 0

$\fbox{Hope this helps you.}$

# By Sparkly Princess