# How do you use the quadratic formula to find both solutions to the quadratic equation #2x^2+3x-5=0#?

Solve

In this case (a + b + c = 0), you don't need using the formula. Use the shortcut. One real root is (1) and the other is (c/a = -5/2)

By signing up, you agree to our Terms of Service and Privacy Policy

To use the quadratic formula to find both solutions to the quadratic equation 2x^2 + 3x - 5 = 0, you first identify the coefficients a, b, and c in the general form of the quadratic equation (ax^2 + bx + c = 0). Then, substitute these values into the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For the equation 2x^2 + 3x - 5 = 0:

a = 2 b = 3 c = -5

Substitute these values into the quadratic formula:

x = (-(3) ± √((3)^2 - 4(2)(-5))) / (2(2))

Simplify under the square root:

= (-(3) ± √(9 + 40)) / (4)

= (-(3) ± √49) / (4)

= (-(3) ± 7) / (4)

Now, you have two possible solutions:

- x = (-3 + 7) / 4 = 4 / 4 = 1
- x = (-3 - 7) / 4 = -10 / 4 = -5/2

So, the solutions to the quadratic equation 2x^2 + 3x - 5 = 0 are x = 1 and x = -5/2.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you find the roots for #x^2 + 24 = –11x#?
- A child care center has 440 feet of fencing to enclose two adjacent rectangular safe play areas. How do you write an expression for the total area A of the play areas in terms of x?
- How do you find the vertex and the intercepts for #y = x^2-5#?
- How do you write #f(x)=x^2-6x+25# in vertex form?
- How do you solve #2x^2 + 2x = 60#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7