Math, asked by kicchagopal, 9 months ago

slove it by using the formula .2x square minus7x plus3=0

Answers

Answered by Aloi99
7

Given:-

P(x)=2x²-7x+3=0

To Find:-

Find x?

\rule{200}{1}

 \mathfrak{\blue{Answer:-}}

→2x²-7x+3=0

S=-7[Sum of Equation]

P=6[Product of Equation]

-6×-1=6=P

-6+(-1)=-7=S

★The Equation has Common Factors,thus using Spiliting the middle term is easier and more understandable★

♦Using Spiliting the Middle Term↓

→2x²-6x-x+3=0

→2x(x-3)-1(x-3)=0

\rule{200}{1}

♦Taking 2x-1=0

→2x=1

→x= \frac{1}{2}

\rule{200}{1}

♦Taking x-3=0

→x=3

\rule{200}{1}

Answered by Anonymous
6

  \qquad\bf{2 {x}^{2}  - 7x + 3 = 0} \\ \\ \texttt{By middle term splitting method :} \\ \\ \longrightarrow \:  \sf{2 {x}^{2}  - (6  +  1)x + 3 = 0} \\  \\ \longrightarrow \:  \sf{2 {x}^{2}  - 6x - x + 3 = 0} \\  \\ \longrightarrow \:  \sf{2x(x - 3) - 1(x - 3) = 0} \\  \\ \longrightarrow \:  \sf{(x - 3)(2x - 1) = 0}

____________________________

 \quad \bf{x - 3 = 0} \\  \\  \rightarrow \:   \fbox{\sf{x = 3}}

____________________________

  \quad\bf{2x - 1 = 0} \\  \\  \rightarrow \:  \sf{2x = 1} \\  \\ \rightarrow \:   \fbox{\sf{x =  \dfrac{1}{2} }}

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