the discriminal of quadratic equation x²-2x+1= 0 of the value will be: ​

Question

the discriminal of quadratic equation x²-2x+1= 0 of the value will be:

in progress 0
Rylee 3 months 2021-11-06T18:45:24+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-06T18:46:47+00:00

    \sf{\underline{\boxed{\green{\large{\bold{ Question}}}}}}

    • solve the equation using formulae \sf x^2 - 2x + 1 = 0

    ⠀⠀⠀⠀⠀⠀⠀

    \sf{\underline{\boxed{\green{\large{\bold{ Solution}}}}}}

    \sf\implies x^2 - 2x + 1 = 0

    ⠀⠀⠀⠀⠀⠀⠀

    • compare the eq with \sf{\underline{\bold{ax^2 + bx + c = 0 }}}

    ⠀⠀⠀⠀⠀⠀⠀

    ☯ a = 1

    ☯ b = -2

    ☯ c = +1

    ⠀⠀⠀⠀⠀⠀⠀

    • now :-

    ⠀⠀⠀⠀⠀⠀⠀

    \sf{\underline{\boxed{\pink{\large{\mathfrak{ D = b^2 - 4ac }}}}}}

    ⠀⠀⠀⠀⠀⠀⠀

    • finding value of D.

    ⠀⠀⠀⠀⠀⠀⠀

    \sf\implies D = b^2 - 4ac

    \sf\implies D = (-2)^2 - 4 \times 1 \times -1

    \sf\implies D = 4 - 4

    \sf\implies D = 0

    \sf{\underline{\boxed{\blue{\large{\bold{ D = 8}}}}}}

    0
    2021-11-06T18:47:12+00:00

    The quadratic formula states:

    For

     \bf \huge \pink{ {ax}^{2}  + bx + c = 0}

    the values of x

    which are the solutions to the equation are given by:

     \bf \huge \fbox \green{ \:  \: x =  \frac{ - b  ±\sqrt{ {b}^{2} - 4ac } }{2a}  \:  \: }

    The discriminate is the portion of the quadratic equation within the radical:

     \bf \huge \orange{ {b}^{2}  - 4ac}

    If the discriminate is:

    – Positive, you will get two real solutions

    – Zero you get just ONE solution

    – Negative you get complex solutions

    To find the discriminant for this problem substitute:

    a=1

    b=2

    c=-1

     \bf \green{ \implies {(2)}^{2}  - 4(1)( - 1)}

    \bf \green{ \implies4 + 4}

    \bf \green{ \implies8}

    Therefore, this quadratic would have two real solutions.

Leave an answer

Browse

14:4+1-6*5-7*14:3+5 = ? ( )