Math, asked by gurjeet15856, 11 months ago

x²-5x+6=0 evaluate this fast plz​

Answers

Answered by 007Boy
12

Given :-

 {x}^{2}  - 5x + 6 = 0

What to find out =Roots of the equation?

Solution :-

Factorise by splitting middle term

x {}^{2}  - 5x + 6 = 0 \\  \\  {x}^{2}  - 3x - 2x + 6 = 0 \\  \\ x(x - 3) - 2(x - 3) = 0 \\  \\  (x - 3)(x - 2) = 0

Now split it into possible cases

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

Hence,

x_1 = 3 \\  \\  x_2 = 2

Extra information :-

  • A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
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