# How do I use the quadratic formula to solve #5x^2+9x-2=0#?

formula for quadratics

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

To use the quadratic formula to solve (5x^2 + 9x - 2 = 0), follow these steps:

- Identify the coefficients (a), (b), and (c) in the quadratic equation: (ax^2 + bx + c = 0).
- In this equation, (a = 5), (b = 9), and (c = -2).
- Substitute these values into the quadratic formula: (x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}).
- Plug in the values of (a), (b), and (c) into the quadratic formula.
- Calculate the discriminant (b^2 - 4ac) and determine its value.
- If the discriminant is positive, there are two real roots. If it's zero, there is one real root (a repeated root). If it's negative, there are no real roots (two complex roots).
- Apply the quadratic formula to find the solutions for (x).
- Express the solutions in simplified form.

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.

- ?A woman works out by running and swimming. When she runs, she burns 7 calories per minute. When she swims, she burns 8 calories per minute. She wants to burn at least 336 calories in her workout. Write an inequality that describes the situation.
- How to obtain a quadratic equation, with integer coefficient, having roots 2+i√5 and 2-i√5 ?
- How do you graph #f(x)=-x^2+2x+5# and identify the x intercepts, vertex?
- If #(x-1)^(2/3) =25# then x equals what?
- How do you solve #y^2-8y-11 = x# for #y# in terms of #x# ?

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