Compute the value of the discriminant and give the number of real solutions of the quadratic equation. 4x^2-7x+2=0
1 answer:
Answer:
Discriminant is 17 and it has 2 real roots.
Step-by-step explanation:
To find the number of real roots for a quadratic, we apply the discriminate. The discriminate is the inside portion of the square root from the quadratic formula.
• yields 2 real roots
• yields 1 real root
• [tx]b^2-4ac<0[/tex] yields no real roots
where a=4, b=-7, and c=2
.
It has 2 real roots
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Answer:
Step-by-step explanation:
Quadratic function-
It is a function that can be represented by an equation of the form , where
In a quadratic function, the greatest power of the variable is 2.
As in the first option the highest power is 3, so it is not a quadratic function.
Even though the power of x is 2 in the third option, but as it is in the denominator, so the overall power of x becomes -2. Hence it is not a quadratic function.
As the coefficient of is 0 in case of fourth option, so it is not a quadratic function.
Equation in option 2 satisfies all the conditions of quadratic function, hence it is the quadratic function.