Question

8х2+10х-3=0 помогите плиз

Answer 1

8х^2+10х-3=0
а=8;б=10;с=-3
Д=в^2-4ас=100-4*8*(-3)=100+96=196
Д>0;2 корней
х1=(-10+14)/2*8=1/4=0,25
х2=(-10-14)/2*8=-24/16=-3/2=-1,5

Answer 2

Solving the Equation 8x^2 + 10x - 3 = 0

To solve the quadratic equation 8x^2 + 10x - 3 = 0, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions for x are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

Where a, b, and c are the coefficients of the quadratic equation.

Applying the Quadratic Formula

For the equation 8x^2 + 10x - 3 = 0, we can identify the values of a, b, and c as follows: - a = 8 - b = 10 - c = -3

Now, we can substitute these values into the quadratic formula to find the solutions for x.

Using the Quadratic Formula to Find the Solutions

Using the quadratic formula, the solutions for x are given by:

x = (-10 ± √(10^2 - 4*8*(-3))) / (2*8)

Let's calculate the discriminant (the value inside the square root) and then find the solutions for x.

Calculating the Discriminant and Finding the Solutions

The discriminant, given by b^2 - 4ac, is: 10^2 - 4*8*(-3) = 100 + 96 = 196

Now, we can find the solutions for x using the quadratic formula:

x = (-10 + √196) / 16 x = (-10 - √196) / 16

Simplifying the Solutions

Simplifying the solutions, we get:

x = (-10 + 14) / 16 = 4/16 = 1/4 x = (-10 - 14) / 16 = -24/16 = -3/2

Therefore, the solutions for the equation 8x^2 + 10x - 3 = 0 are: x = 1/4 and x = -3/2