Will someone explain how to solve this?


Write each equation in standard form. Solve by using the Quadratic Formula.

1. -7 = x^2

this has been answered already. Reiny just stated that since x^2 is always positive, there's no real value of x which can produce -7 when squared.

Damon actually wrote the quadratic in standard form, applied the formula and gave the complex solutions.

http://www.jiskha.com/display.cgi?id=1399935086

Just what is it that is still bothering you?

1. -7 = X^2

x^2 + 7 = 0

X =( -B +- sqrt(B^2-4AC))/2A
X = (0 +- sqrt(0-28))/2 =
sqrt(28*(-1))/2 = 5.29i/2 = +-2.65i

To write the equation "-7 = x^2" in standard form, we need to move all the terms to one side of the equation. In this case, we can add "7" to both sides:

-7 + 7 = x^2 + 7
0 = x^2 + 7

Now, the equation is in standard form, which is ax^2 + bx + c = 0. In this case, a = 1, b = 0, and c = 7.

To solve the equation using the Quadratic Formula, which is x = (-b ± √(b^2 - 4ac)) / 2a, we can substitute the values of a, b, and c into the formula:

x = (0 ± √(0^2 - 4(1)(7))) / 2(1)

Simplifying further:

x = (0 ± √(0 - 28)) / 2
x = (± √(-28)) / 2

Because the expression inside the square root is negative, this equation has no real solutions. The solutions are complex numbers. Therefore, we can write the solutions as:

x = ± √(28)i / 2
x = ± 2√7i / 2
x = ± √7i

So, the solutions to the equation -7 = x^2 in standard form, using the Quadratic Formula, are ± √7i.

To write the equation -7 = x^2 in standard form and solve it using the quadratic formula, follow these steps:

Step 1: Add 7 to both sides of the equation to isolate the variable term:
x^2 = -7 + 7
x^2 = 0

Step 2: Now the equation is in standard form, which is Ax^2 + Bx + C = 0. Here, A = 1, B = 0, and C = 0.

Step 3: To solve the equation using the quadratic formula, we use the following formula:
x = (-B ± √(B^2 - 4AC)) / (2A)

Substituting the values for A, B, and C into the quadratic formula:
x = (0 ± √(0^2 - 4(1)(0))) / (2(1))
x = (0 ± √(0 - 0)) / (2)
x = (0 ± √(0)) / (2)

Step 4: Simplify the equation:
x = (0 ± 0) / 2

Step 5: Since we have two possible solutions, one with a plus sign and one with a minus sign, we can write both solutions as follows:
x1 = 0 / 2 = 0
x2 = 0 / 2 = 0

Step 6: Therefore, the solutions to the equation -7 = x^2 in standard form, using the quadratic formula, are x = 0.