Mathematics, 09.07.2019 23:30 sydneydavis57

What is the value of the discriminant b^2-4ac for the quatrain equation 0=-2x^2-3x+8, and what does it mean about the number of real solutions the equation has.

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Answer from: Pizzapegasus1

The quadratic equation you provided has

a = -2b = -3c = 8

so the discriminant b²-4ac is ...

... b² - 4ac = (-3)² -4(-2)(8) = 9 + 64 = 73

The discriminant is positive, so there are two real solutions to the given equation.

What is the value of the discriminant b^2-4ac for the quatrain equation 0=-2x^2-3x+8, and what does

Answer from: Sadiecoyle37

Answer

discriminant = 73

The discriminant determines whether the equation has real root or it has imaginary roots. The equation has 2 real solutions

Explanation

0=-2x²-3x+8 ⇒ -2x² -3x + 8 = 0

Now the equation resembles the general quadratic formula ax² + bx + c = 0

The discriminant is b^2-4ac = (-3)² -(4 × -2 × 8)

= 9 + 64

= 73

The discriminant determines whether the equation has real root or it has imaginary roots. When b^2-4ac is equal to positive number the equation has a real roots or solutions, when negative, then the solutions are imaginary numbers.

Answer from: Quest

hello :

70y^8 + 30y^6 = 2 ( 35 y^8 + 15y^6)

the lenght is : 35 y^8

the width is : 15y^6

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is