Question

solve the following equation by using formula. ax^2+bx+c=0.kindly solve this problem.

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Answer 1

Hope it will helpfull

Answer 2

Given:-

• 2x²-6x+3 = 0

To Find:-

• The zeros of the Quadratic Equation.

Solution:-

Quadratic Equation be ax²+bx+c = 0

Here a = 2, b = -6 & c = 3

ʙʏ ᴅʜᴀʀᴀᴄʜᴀʀʏᴀ ꜰᴏʀᴍᴜʟᴀ

$\boxed{\sf{\alpha, \beta = \frac{-b±\sqrt{b²-4ac}}{2a}}}$

$→\;\Large{\sf{\frac{-(-6)±\sqrt{(-6)²-(4×2×3)}}{2×2}}}$

$→\;\Large{\sf{\frac{6±\sqrt{36-24}}{4}}}$

$→\;\Large{\sf{\frac{6±\sqrt{12}}{4}}}$

$→\;\Large{\sf{\frac{6±2\sqrt{3}}{4}}}$

$→\;\Large{\sf{\frac{2(3±\sqrt{3})}{4}}}$

$→\;\Large{\sf{\frac{3±\sqrt{3}}{2}}}$

Therefore, The roots are

◕➜ $\huge{\red{\mathfrak{\frac{3+\sqrt{3}}{2}}}},\huge{\green{\mathfrak{\frac{3-\sqrt{3}}{2}}}}$

Hope It Helps You ✌️