How do you solve #7x ^ { 2} + 37x  30= 0#?
By signing up, you agree to our Terms of Service and Privacy Policy
Solution:
By signing up, you agree to our Terms of Service and Privacy Policy
To solve the quadratic equation (7x^2 + 37x  30 = 0), you can use the quadratic formula, which is (x = \frac{b \pm \sqrt{b^2  4ac}}{2a}), where (a), (b), and (c) are the coefficients of the quadratic equation (ax^2 + bx + c = 0).

Identify the values of (a), (b), and (c) from the given equation. In this case, (a = 7), (b = 37), and (c = 30).

Substitute these values into the quadratic formula to get (x = \frac{37 \pm \sqrt{37^2  4 \times 7 \times (30)}}{2 \times 7}).

Simplify the expression inside the square root to get (x = \frac{37 \pm \sqrt{1369 + 840}}{14}), which simplifies further to (x = \frac{37 \pm \sqrt{2209}}{14}).

Since the square root of 2209 is 47, the expression simplifies to (x = \frac{37 \pm 47}{14}).

Calculate the two possible values for (x): (x_1 = \frac{37 + 47}{14}) and (x_2 = \frac{37  47}{14}).

Simplify to get (x_1 = \frac{10}{14} = \frac{5}{7}) and (x_2 = \frac{84}{14} = 6).
Therefore, the solutions to the equation (7x^2 + 37x  30 = 0) are (x = \frac{5}{7}) and (x = 6).
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided 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 onesided 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 onesided 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 onesided 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.
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7