4. solve the quadratic by factoring, isolating x^2, or using the quadratic formula:
a. 2x^2 – 7x = 4
b. 81x^4 – 1
c. 2x^2 – 32 = 0
d. x^2 – 7x + 12

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.