Question

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

Answer 1

Answer:

⇒Question :-

Write the following equations in the form ax²+ bx + c = 0.

(1) 2x² = 5x - 6

(2) x(x + 2) = 5

⇒Required Answers :-

$1. \: {2x}^{2} - 5x + 6 = 0$

$2. \: {x}^{2} + 2x - 5 = 0$

⇒Solution :-

1. 2x² = 5x - 6

First we should arrange them in standard form

$\: {2x}^{2} - 5x + 6 = 0$

This is the standard form of the first equation.

2. x(x + 2) = 5

$x(x + 2) = 5$

$(x \times x) + (x \times2) = 5$

${x}^{2} + 2x = 5$

${x}^{2} + 2x - 5 = 0$

This is the standard form of the second equation.

Answer 2

Answer:

⇒Required Answers :-

1. \: {2x}^{2} - 5x + 6 = 01.2x

2

−5x+6=0

$\: {x}^{2}+ 2x - 5 = 02.x$

2

+2x−5=0

⇒Solution :-

1. 2x² = 5x - 6

First we should arrange them in standard form

$\: {2x}^{2} - 5x + 6 = 02x </p><p>2</p><p> −5x+6=0$

This is the standard form of the first equation.

2. x(x + 2) = 5

x(x + 2) = 5x(x+2)=5

(x \times x) + (x \times2) = 5(x×x)+(x×2)=5

{x}^{2} + 2x = 5x

2

+2x=5

${x}^{2} + 2x - 5 = 0x </p><p>2</p><p> +2x−5=0$

This is the standard form of the second equation.