Mathematics: Solve the quadratic equation 3x - 5x - 7 = 0 Give your answers to 3 significant figures.

Step-by-step explanation:VTRRFHJK.,LFKDSJ...

Solve the quadratic equation 3x - 5x - 7 = 0 Give

Ответ:

vanessacox45

17.03.2022

Mathematics

The solutions of $3\cdot x^{2}-5\cdot x -7 = 0$ are $x_{1} \approx 2.573$ and $x_{2} \approx -0.907$ .

Step-by-step explanation:

The statement is incomplete. The complete description will be shown below:

Solve the quadratic equation $3\cdot x^{2}-5\cdot x -7 = 0$ . Give your answers to 3 significant figures.

From Algebra we know that second order polynomials of the form $a\cdot x^{2}+b\cdot x + c = 0$ , $a \ne0$ can be solved anatically by means of the Quadratic Formula, that is:

$x = \frac{-b\pm\sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}$ (1)

Where , , are coefficients of the given polynomial.

If we know that a = 3 , b = -5 and c = -7 , then the roots of the polynomial are:

$x_{1,2} = \frac{5\pm \sqrt{(-5)^{2}-4\cdot (3)\cdot (-7)}}{2\cdot (3)}$

$x_{1,2} = \frac{5}{6}\pm \frac{\sqrt{109}}{6}$

That is,

$x_{1} \approx 2.573$ and $x_{2} \approx -0.907$

The solutions of $3\cdot x^{2}-5\cdot x -7 = 0$ are $x_{1} \approx 2.573$ and $x_{2} \approx -0.907$ .

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Solve the quadratic equation 3x - 5x - 7 = 0
Give your answers to 3 significant figures.

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