Question

sol e the equation using the formula 3x²-5x+2=0​

Answer 1

Answer:

3,-2and 1

Step-by-step explanation:

ANSWER

Given, 3x2+5x+2=0

On comparing this equation with ax2+bx+c=0, we get a=3,b=5 and c=2

Now, b2−4ac=(5)2−4×3×2

=25=24

=1

x=2a−b±b2−4ac

==2×3−5±1

=6−5±1

x=6−5+1

x=6−5−1

∴ 3−2 and −1 are the roots of the given quadratic equation.

Answer 2

Answer:

1 ᴀɴᴅ 2/3

Step-by-step explanation:

$3 {x}^{2} - 5x + 2 \\ \: using \: formula \\ x = \frac{ - b \frac{ + }{ - } \sqrt{ {b}^{2} - 4ac} } {2a}$

$a = 3 \\ b = - 5 \\ c = 2$

ᴩᴜᴛᴛɪɴɢ ᴠᴀʟᴜᴇꜱ

$x = \frac{ - ( - 5) \frac{ + }{ - } \sqrt{ { - 5}^{2} - 4 \times 3 \times 2 } }{2 \times 3} \\ x = \frac{5 \frac{ + }{ - } \sqrt{25 - 24} }{6} \\ x = \frac{5 \frac{ + }{ - } \sqrt{1} }{6} \\ x = \frac{5 + 1}{6} \\ x = 1$

••

$x = \frac{5 - 1}{6} \\ x = \frac{2}{3}$

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