EXERCISE - 5.1
Check whether the following are quadratic equations :
i. (x + 1)2 = 2(x – 3)
ii. x² – 2x = (-2) (3 – x)
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EXERCISE - 5.1
Check whether the following are quadratic equations :
i. (x + 1)2 = 2(x – 3)
ii. x² – 2x = (-2) (3 – x)
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Answer:
[tex](x + 1) 2 = 2(x - 3) \\ \\ x2 + 1 + 2x = 2x - 6 \\ \\ x2 + 1 + 2x - 2x + 6 = 0 \\ \\ x2 + 7 = 0 \\ \\ given \: equation \: is \: quadratic \: equation.[/tex]
given equation is quadratic equation.
[tex]x2 - 2x = ( - 2)(3 - x). \\ \\ x2 - 2x = - 6 + 2x \\ \\ x2 - 2x - 2x + 6 = 0 \\ \\ x2 - 4x + 6 = 0. \\ \\ it \: is \: a \: quadratic \: equation[/tex]
my answer is correct.
so please mark as brainliest
[tex]\sf\large\pink{\underline{\underline{ \: Question\:1 \: }}} \\ [/tex]
Given:
Solution:
By using the formula for (a+b)² = a²+2ab+b²
⇒ x² + 2x + 1 = 2x – 6
⇒ x² + 7 = 0
Since the above equation is in the form of ax² + bx + c = 0.
Therefore, the given equation is quadratic equation.
[tex] \\ \sf\large\pink{\underline{\underline{ \: Question\:2 \: }}} \\ [/tex]
Given:
x² – 2x = (–2) (3 – x)
By using the formula for (a+b)² = a²+2ab+b²
⇒ x² – 2x = -6 + 2x
⇒ x² – 4x + 6 = 0
Since the above equation is in the form of ax² + bx + c = 0.
Therefore, the given equation is quadratic equation.