Question

find the roots of 2 x square - 5 x + 3 is equal to zero by applying quadratic formula​

Answer 1

Answer:

$2x2 - 5x + 3 = 0 \\ \\ 2x2 - 2x - 3x + 3 = 0 \\ \\ 2x(x - 1) - 3(x - 1) = 0. \\ \\ (x - 1) = 0 \: \: \: (2x - 3) = 0 \\ \\ x = 1 \: \: \: \: \: x = \frac{3}{2 } \\ \\ please \: mark \: as \: brainliest$

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Answer 2

$\huge \bf{Question}$

▶Find the roots of 2 x square - 5 x + 3 is equal to zero by applying quadratic formula

$\huge \bf{Solution}$

▶Since this question is given in standard form, meaning that it follows the form:

$ax ^{2} + bx + c \: = 0$

we can use the quadratic formula to solve for x:

a =2 , b= -5 , c= +3

Quadratic Formula

$x = \frac{ - b \frac{ + }{ - } \sqrt[]{b {}^{2} - 4ac } }{2a} </p><p></p><p>$

Plug the given values into the formula and solve.

$x = \frac{ - ( - 5) \frac{ + }{ - } \sqrt{( - 5) { }^{2} - 4.2. - 3 } }{2.2} </p><p></p><p>$

Simplify

$x = \frac{5 \frac{ + }{ - } \sqrt{25 + 24} }{4}$

Simplify

$x = \frac{5 \frac{ + }{ - } \sqrt{49} }{ 4}$

$x = \frac{5 \frac{ + }{ - } 7}4{}$

Solve for x .

There a two equations.

$x = \frac{12}{4}$

and

$x = - \frac{2}{4}$

Simplify

$x = 3$

and

$x = - \frac{1}{2}$

Therefore

$x = - \frac{1}{2} \: 3$

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