Practice Questions

The number of roots of a quadratic equation

Difficulty: ★☆☆

1050

For the quadratic equation \(2x^2-3x+4=0\), which statement is correct?

Your Answer:

\(\Delta=0\), so there are equal roots.

\(\Delta=-23\), so there are equal roots.

\(\Delta=-23\), so there are no real roots.

\(\Delta=23\), so there are two distinct real roots.

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The number of roots of a quadratic equation

Difficulty: ★☆☆

1051

For the quadratic equation \(5x^2-11x+4=0\), which statement is correct?

Your Answer:

\(\Delta=-41\), so there are no real roots.

\(\Delta=41\), so there are equal roots.

\(\Delta=41\), so there are two distinct real roots.

\(\Delta=0\), so there are equal roots.

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The number of roots of a quadratic equation

Difficulty: ★☆☆

1052

For the quadratic equation \(x^2+12x+36=0\), which statement is correct?

Your Answer:

\(\Delta=0\), so the roots are equal.

\(\Delta=144\), so there are two distinct real roots.

\(\Delta=-144\), so there are no real roots.

\(\Delta=0\), so there are no real roots.

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The number of roots of a quadratic equation

Difficulty: ★☆☆

1053

For the quadratic equation \(2x^2+x-2=0\), which statement is correct?

Your Answer:

\(\Delta=17\), so there are two distinct real roots.

\(\Delta=17\), so the roots are equal.

\(\Delta=0\), so the roots are equal.

\(\Delta=-17\), so there are no real roots.

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The number of roots of a quadratic equation

Difficulty: ★☆☆

1054

For the quadratic equation \(4x^2+5x+2=0\), which statement is correct?

Your Answer:

\(\Delta=0\), so the roots are equal.

\(\Delta=-7\), so there are no real roots.

\(\Delta=7\), so there are two distinct real roots.

\(\Delta=-7\), so the roots are equal.

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Practice — Quadratics • The number of roots of a quadratic equation

The number of roots of a quadratic equation

Solution:

The number of roots of a quadratic equation

Solution:

The number of roots of a quadratic equation

Solution:

The number of roots of a quadratic equation

Solution:

The number of roots of a quadratic equation

Solution: