For the following quadratic equation, find the discriminant. -6x^(2)+20 x+36=-7x^(2) Answer:

Simplify Quadratic Equation: First, we need to simplify the quadratic equation by moving all terms to one side of the equation. -6x^(2) + 20x + 36 = -7x^(2) Add 7x^(2) to both sides to combine like terms. -6x^(2) + 7x^(2) + 20x + 36 = 0Combine Like Terms: Now, we simplify the left side of the equation by combining like terms. (7x^(2) - 6x^(2)) + 20x + 36 = 0 x^(2) + 20x + 36 = 0Standard Form: The quadratic equation is now in standard form, which is ax^(2) + bx + c = 0. Here, a = 1, b = 20, and c = 36. To find the discriminant of a quadratic equation, we use the formula: discriminant = b^(2) - 4ac.Calculate Discriminant: Substitute the values of a, b, and c into the discriminant formula. discriminant = 20^(2) - 4(1)(36) discriminant = 400 - 144Final Calculation: Now, calculate the value of the discriminant. discriminant = 400 - 144 discriminant = 256

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For the following quadratic equation, find the discriminant.

-6x^(2)+20 x+36=-7x^(2)
Answer:

For the following quadratic equation, find the discriminant. $\newline$ $-6 x^{2}+20 x+36=-7 x^{2}$ $\newline$ Answer:

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Q. For the following quadratic equation, find the discriminant.

\newline

-6 x^{2}+20 x+36=-7 x^{2}

\newline

Answer:

Simplify Quadratic Equation: First, we need to simplify the quadratic equation by moving all terms to one side of the equation. $\newline$ $-6x^{2} + 20x + 36 = -7x^{2}$ $\newline$ Add $7x^{2}$ to both sides to combine like terms. $\newline$ $-6x^{2} + 7x^{2} + 20x + 36 = 0$
Combine Like Terms: Now, we simplify the left side of the equation by combining like terms. $\newline$ $(7x^{2} - 6x^{2}) + 20x + 36 = 0$ $\newline$ $x^{2} + 20x + 36 = 0$
Standard Form: The quadratic equation is now in standard form, which is $ax^{2} + bx + c = 0$ . Here, $a = 1$ , $b = 20$ , and $c = 36$ . To find the discriminant of a quadratic equation, we use the formula: $\text{discriminant} = b^{2} - 4ac$ .
Calculate Discriminant: Substitute the values of $a$ , $b$ , and $c$ into the discriminant formula. $\text{discriminant} = 20^{2} - 4(1)(36)$ $\text{discriminant} = 400 - 144$
Final Calculation: Now, calculate the value of the discriminant. $\newline$ discriminant = $400 - 144$ $\newline$ discriminant = $256$