Instructions: Calculate the discriminant, then state the number and type of solutions.−10x2+9x+7=0−10𝑥2+9𝑥+7=0D=𝐷= Answer 1 Question 24
Question
Instructions: Calculate the discriminant, then state the number and type of solutions.−10x2+9x+7=0−10𝑥2+9𝑥+7=0D=𝐷= Answer 1 Question 24
Solution
The discriminant of a quadratic equation is calculated using the formula D = b² - 4ac, where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.
In the given equation -10x² + 9x + 7 = 0, a = -10, b = 9, and c = 7.
Substituting these values into the formula, we get:
D = (9)² - 4*(-10)*7 D = 81 - (-280) D = 81 + 280 D = 361
The discriminant is 361.
The discriminant is positive and a perfect square, so the equation has two distinct real solutions.
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