Question

Решение уравнение -5х²+х+6=0 решите пожалуйсто))))

Answer 1

Вот решение через дискриминант Аналогично сделай по формуле

Answer 2

-5х^2+х+6=0 D= b^2 - 4*a*c D=1^2 - 4*(-5)*6 D=1+120 D=121=11^2 X1=(-1+11):(2*(-5))=10:(-10)=-1 X2=(-1-11):(2*(-5))=(-12):(-10)=1, 2

Answer 3

Solving the Equation -5x² + x + 6 = 0

To solve the equation -5x² + x + 6 = 0, we can use various methods such as factoring, completing the square, or using the quadratic formula. Let's go through each method to find the solutions.

Method 1: Factoring

To factor the quadratic equation -5x² + x + 6 = 0, we need to find two binomials that multiply to give us -5x² + x + 6. However, in this case, factoring may not be the most straightforward method.

Method 2: Completing the Square

To solve the equation -5x² + x + 6 = 0 by completing the square, we can follow these steps:

Step 1: Move the constant term to the other side of the equation: -5x² + x = -6

Step 2: Divide the coefficient of x² by 2 and square it. Add this value to both sides of the equation: -5x² + x + (1/2)² = -6 + (1/2)² -5x² + x + 1/4 = -6 + 1/4

Step 3: Simplify the equation: -5x² + x + 1/4 = -23/4

Step 4: Rewrite the left side of the equation as a perfect square: -5(x² - (1/2)x + 1/16) = -23/4

Step 5: Factor the perfect square on the left side of the equation: -5(x - 1/4)² = -23/4

Step 6: Divide both sides of the equation by -5: (x - 1/4)² = (-23/4) / -5

Step 7: Simplify the equation: (x - 1/4)² = 23/20

Step 8: Take the square root of both sides of the equation: x - 1/4 = ±√(23/20)

Step 9: Solve for x: x = 1/4 ± √(23/20)

Therefore, the solutions to the equation -5x² + x + 6 = 0 are x = 1/4 + √(23/20) and x