Question

100 Point Maths Question
FACTORISE 44,45​

Answer 1

Heya!

Here is ur answer.....

44. 2x² -x +1/8 = 0

Answer :

$2 {x}^{2} - x + \frac{1}{8} = 0 \\ \\ \frac{ 16{x}^{2} -8x + 1 }{8} = 0 \\ \\ 16 {x}^{2} - 8x + 1 = 0 \\ \\ 16 { x}^{2} - 4x - 4x + 1 = 0 \\ \\ 4x(4x - 1) - 1(4x - 1) = 0 \\ \\ (4x - 1)(4x - 1) = 0 \\ \\ \\ x = \frac{1}{4}$

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45. 4√3x² +5x -2√3 = 0

Answer:

$4 \sqrt{3} {x}^{2} + 5x - 2 \sqrt{3} = 0 \\ \\ 4 \sqrt{3}{x}^{2} + 8x - 3x - 2 \sqrt{3} = 0 \\ \\ 4x( \sqrt{3}x + 2) - \sqrt{3}( \sqrt{3} x + 2) = 0 \\ \\ ( \sqrt{3}x + 2)(4x - \sqrt{3} ) = 0 \\ \\ \\ x = \frac{4}{3} \: \: \: or \: x = \frac{ \sqrt{3} }{4}$

Hope it helps

Answer 2

$\huge{\bold{\sf{\underline{\underline{Answer:-}}}}}$

$\large{\rm{\underline{\star{Solution\:no. - 44}}}}$

$\large\sf{\implies 2 {x}^{2} - x + \frac{1}{8} = 0 }$

$\large\sf{ \implies \frac{16 {x}^{2} - 8x + 1}{8} = 0 }$

$\large\sf{ \implies 16 {x}^{2} - 8x + 1 = 0}$

$\large\sf{\implies 16 {x}^{2} - 4x - 4x + 1 = 0 }$

$\large\sf{ \implies 4x(4x - 1) - 1(4x - 1) = 0 }$

$\large\sf{ \implies (4x - 1)(4x - 1)=0 }$

$\large\sf{\implies ( 4x - 1) = 0 \: \: \: \: or \: \: \: \: (4x - 1) = 0 }$

$\large\sf{\implies x = \frac{1}{4} \: \: or \: \: x = \frac{1}{4} }$

$\large\sf{\boxed{ x = \frac{1}{4} }}$

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$\large{\rm{\underline{\star{Solution\:no. - 45}}}}$

$\large\sf{ \implies 4 \sqrt{3} {x}^{2} + 5x - 2 \sqrt{3} = 0 }$

$\large\sf{ \implies 4 \sqrt{3} {x}^{2} + 8x - 3x - 2 \sqrt{3} = 0 }$

$\large\sf{ \implies 4x( \sqrt{3} x + 2) - \sqrt{3} ( \sqrt{3} x + 2) = 0 }$

$\large\sf{ \implies (4x - \sqrt{3} )( \sqrt{3} x + 2) = 0 }$

$\large\sf{ \implies (4x - \sqrt{3} ) = 0 \: \: or \: \: ( \sqrt{3} x + 2) = 0 }$

$\large\sf{\implies x = \frac{ \sqrt{3} }{4} \: \: or \: \: x = - \frac{ 2}{ \sqrt{3} } }$

$\large\sf{\boxed{ x = \frac{ \sqrt{3} }{4} \: \: or \: \: - \frac{ 2}{ \sqrt{3} } }}$