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9x²+7x-2=0 find it's real root ​

Sagot :

The Given Quadratic Equation is bx + c = 0

[tex] \sf \: so \: \: \: \: \: a = 9 \: \: \: \: \: \: \: \: \: \: b = 7 \: \: \: \: \: \: \: \: c = - 2[/tex]

We Know That Determinant (D) = b²– 4ac

  • [tex]\sf \: (D) = {7}^{2} - 4 \times 9 \times - 2 [/tex]

  • [tex]\sf \: (D) = 49 - 36 \times - 2[/tex]

  • [tex]\sf \: (D) = 49 + 72[/tex]

  • [tex] \boxed{ \underline \color{skyblue}{\sf \: (D) = 121 > 0}}[/tex]

The Determinant of The Equation is Positive So,

The Expression Contains Real Root.

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