Question

15. Solve the quadratic equation 2x² - 5x + 3 = 0 by Formula method.​

Answer 1

Solve the quadratic equation 2x2−5x−3=0 for x using the quadratic formula. The quadratic equation in standard form is ax2+bx+c, where a=2, b=−5, and c=−3.

Quadratic Formula

x=−b±√b2−4ac2a

Plug the given values into the formula and solve.

x=−(−5)±√(−5)2−4⋅2⋅−32⋅2

Simplify.

x=5±√25+244

Simplify.

x=5±√494

x=5±74

Solve for x.

There a two equations.

x=124 and x=−24

Simplify.

x=3 and =−12

x=−12,3

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Answer 2

Step-by-step explanation:

2x^2 - 5x + 3 =0

2x^2 - (3+2)x + 3=0

2x^2 - 3x - 2x + 3=0

2x(x-3)-3(x-3)=0

(2x-3) (x-3)=0

x=3/2 , x=3 =Ans