find the roots of the equation by factrolization
[tex]1.x { }^{2} – 3x – 10 = 0 \\2.2x {}^{2} +x – 6 = 0 \\ 3.100x {}^{2}

find the roots of the equation by factrolization
[tex]1.x { }^{2} – 3x – 10 = 0 \\2.2x {}^{2} +x – 6 = 0 \\ 3.100x {}^{2} – 20x + 1 = 0 \\ 4. \sqrt{2x {}^{2} } + 7x + 5 \sqrt{2 = 0 } [/tex]

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1 thought on “find the roots of the equation by factrolization <br />[tex]1.x { }^{2} – 3x – 10 = 0 \\2.2x {}^{2} +x – 6 = 0 \\ 3.100x {}^{2}”

  1. 1. x²-3x-10=0

    x²-5x+2x-10=0 product:- -10

    x(x-5)+2(x-5)=0 sum:- -3

    (x-5)(x+2)=0 no. :- -5,+2

    (x-5)=0 or (x+2)=0

    x=5 or x=-2

    the roots of quadratic equation is 5 and -2.

    2. 2x²+x-6=0

    2x²+4x-3x-6=0 product:- -6×2 =-12

    2x(x+2) -3(x+2)=0 sum:- 1

    (x+2)(2x-3)=0 no. :- +4, -3

    (x+2)=0 or (2x-3)=0

    x=-2 or 2x=3

    x=-2 or x=3/2

    the roots of quadratic equation is -2 and 3/2.

    3. 100x²-20x+1=0

    100x²-10x-10x+1=0. pro.-100×1=100

    10x(x-10)-1(x-10)=0

    (x-10)(x-10)=0

    (x-10)=0 or (x-10)=0

    x=10 or x=10

    the roots of quadratic equation is 10.

    4.√2x²+7x+5√2=0

    √2x² +5x+2x+5√2 = 0

    x(√2x + 5) +√2(√2x+5)=0

    (√2x+5)(x + √2) = 0

    x + √2=0 or √2x+5=0

    x=-√2 or √2x=-5

    x=-√2 or x=-5/√2

    the roots of quadratic equation is -√2 or -5/√2

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