Question

Write the following equation in the form ax² + bx + c = 0, then write the values of a, b, c for each equation. x²+5x=-(3-x)

Answer 1

Solution:-

given by:-
${x}^{2} + 5x = - (3 - x) \\ {x}^{2} + 5x - x + 3 = 0 \\ {x}^{2} + 4x + 3 = 0 \\ compare \: by \: the \: equation \: form \\ a {x}^{2} + bx + c = 0 \\ here \: value \: of \: a \: b \: c \: are \: \\ a = 1 \\ b = 4 \\ c = 3$
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Answer 2

QUADRATIC EQUATION :
An equation of degree 2 is called a quadratic equation.
General form of Quadratic equation :
ax² + bx + c , where a,b,c are constants and a≠0.

SOLUTION:

GIVEN : x² + 5x= - (3 - x)
x² + 5x = -3+x
x² +5x -x +3= 0
x² + 4x + 3 = 0
On comparing with General form of Quadratic equation : ax² + bx + c = 0
Here, a = 1, b = 4, c = 3

Hence , the value of a = 1, b = 4, c = 3

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