Question

slove it by using the formula .2x square minus7x plus3=0
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Answer 1

Given:-

P(x)=2x²-7x+3=0

To Find:-

Find x?

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$\mathfrak{\blue{Answer:-}}$

→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

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♦Taking 2x-1=0

→2x=1

→x=$\frac{1}{2}$

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♦Taking x-3=0

→x=3

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Answer 2

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

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

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