Math, asked by anandhvf1977, 10 months ago

factorize the following by splitting middle
a) 3x^2+19x+30
b) 2√2x^2+9x+5√2
c) 4x^2-13x+10​

Answers

Answered by BRAINLYADDICTOR
93

⭐MARK BRAINLIST⭐

 <marquee behaviour-move><font color="yellow black"><h1>ANSWER:</ ht></marquee>

a)3x {}^{2}  + 19 x + 30 = 0 \\  =  > 3 x{}^{2} + 9x + 10x + 30 = 0 \\  =  > 3x(x + 3) + 10(x + 3) = 0 \\  =  > (x + 3)(3x + 10)  = 0\\  =  > x =  - 3(or) x =  - 10 \div 3

b)2 \sqrt{2}x {}^{2}  + 9x + 5 \sqrt{2}  = 0 \\  =  > 2 \sqrt{2} x {}^{2}   +  4x + 5x + 5 \sqrt{2}   = 0\\  =  > 2 \sqrt{2}x (x +  \sqrt{2} ) + 5(x +  \sqrt{2} ) = 0 \\  =  > (x +  \sqrt{2} )(2 \sqrt{2}x  + 5) = 0 \\  =  > x =  -  \sqrt{2} (or)x =  - 5 \div 2 \sqrt{2}

c)4 x{}^{2}  - 13x + 10 = 0 \\  =  > 4x {}^{2}  - 8x - 5x + 10 = 0 \\  =  > 4x(x - 2) - 5(x - 2) = 0 \\  =  > (x - 2)(4x - 5) = 0 \\  =  > x = 2(or)x = 5 \div 4

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Answered by NIKKIASHBN
12

Answer:

a)3x {}^{2}  + 19 x + 30 = 0 \\  =  &gt; 3 x{}^{2} + 9x + 10x + 30 = 0 \\  =  &gt; 3x(x + 3) + 10(x + 3) = 0 \\  =  &gt; (x + 3)(3x + 10)  = 0\\  =  &gt; x =  - 3(or) x =  - 10 \div 3

b)2 \sqrt{2}x {}^{2}  + 9x + 5 \sqrt{2}  = 0 \\  =  &gt; 2 \sqrt{2} x {}^{2}   +  4x + 5x + 5 \sqrt{2}   = 0\\  =  &gt; 2 \sqrt{2}x (x +  \sqrt{2} ) + 5(x +  \sqrt{2} ) = 0 \\  =  &gt; (x +  \sqrt{2} )(2 \sqrt{2}x  + 5) = 0 \\  =  &gt; x =  -  \sqrt{2} (or)x =  - 5 \div 2 \sqrt{2}

c)4 x{}^{2}  - 13x + 10 = 0 \\  =  &gt; 4x {}^{2}  - 8x - 5x + 10 = 0 \\  =  &gt; 4x(x - 2) - 5(x - 2) = 0 \\  =  &gt; (x - 2)(4x - 5) = 0 \\  =  &gt; x = 2(or)x = 5 \div 4

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