Knowee
Questions
Features
Study Tools

Solve the equation 7x2+22x+3=0.

Question

Solve the equation 7x2+22x+3=0.

🧐 Not the exact question you are looking for?Go ask a question

Solution

This is a quadratic equation of the form ax^2 + bx + c = 0. We can solve it using the quadratic formula, which is x = [-b ± sqrt(b^2 - 4ac)] / (2a).

Here, a = 7, b = 22, and c = 3.

Step 1: Calculate the discriminant, which is b^2 - 4ac. Discriminant = (22)^2 - 473 = 484 - 84 = 400.

Step 2: Substitute a, b, and the discriminant into the quadratic formula to find the solutions.

x = [-22 ± sqrt(400)] / (2*7) x = [-22 ± 20] / 14

So, the solutions are x = -42/14 = -3 and x = -2/14 = -1/7.

This problem has been solved

Similar Questions

What are the values of x that satisfy the equation 3 – 27x2 = 0?

Solve the equation 8x2+22x+15=0.

Solve the cubic equationx3 − x2 − 14x + 24 = 0.

Solve the simultaneous equations6x+7y= −22,2x+3y= −14.

8x2 + 21 = −59x

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.