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Naya [18.7K]
3 years ago
13

Which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x? X = StartFraction negative 1 plus-or-minus

StartRoot (negative 1) squared minus 4 (7) (9) EndRoot Over 2 (7) EndFraction x = StartFraction 1 plus-or-minus StartRoot (negative 1) squared minus 4 (7) (9) EndRoot Over 2 (7) EndFraction x = StartFraction negative 1 plus-or-minus StartRoot (negative 1) squared +4 (7) (9) EndRoot Over 2 (7) EndFraction x = StartFraction 1 plus-or-minus StartRoot (negative 1) squared +4 (7) (9) EndRoot Over 2 (7) EndFraction
Mathematics
1 answer:
Andreyy893 years ago
3 0

Answer:

x=\dfrac{-(-1)\pm \sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}

Step-by-step explanation:

The quadratic equation is as follows :

7x^2=9+x ...(1)

The solution of a quadratic equation ax^2+bx+c=0 is given by :

x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}

Equation (1) can also be written as follows :

7x^2-9-x=0\\\\7x^2-x-9=0

Here, a = 7, b = -1 and c = -9

x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-(-1)+\sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}, \dfrac{-(-1)-\sqrt{(-1)^{2}-4(7)(-9)}}{2(7)}\\\\x=1.20\ s, -1.06\ s

Neglecting negative value.

So, it will hit the ground in 1.2 s.

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